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Finding the Fourth Proportional to 616.16, 849.60 and 460.64

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Solution

The fourth proportional to 616.16, 849.60 and 460.64 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.16 : 849.60 = 460.64 : x
  2. Step 2: Convert to fraction form
    616.16/849.60 = 460.64/x
  3. Step 3: Cross multiply
    616.16x = 849.60 × 460.64
  4. Step 4: Simplify right side
    616.16x = 391,359.74
  5. Step 5: Solve for x
    x = 391,359.74/616.16
  6. Step 6: Final answer
    x = 635.16

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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.