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Finding the Fourth Proportional to 616.75, 851.12 and 409.75

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Solution

The fourth proportional to 616.75, 851.12 and 409.75 is: 565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.75 : 851.12 = 409.75 : x
  2. Step 2: Convert to fraction form
    616.75/851.12 = 409.75/x
  3. Step 3: Cross multiply
    616.75x = 851.12 × 409.75
  4. Step 4: Simplify right side
    616.75x = 348,746.42
  5. Step 5: Solve for x
    x = 348,746.42/616.75
  6. Step 6: Final answer
    x = 565.46

Related Problems

Find fourth proportional to 308.38, 425.56 and 204.88
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.