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Finding the Fourth Proportional to 597.24, 823.59 and 410.75

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Solution

The fourth proportional to 597.24, 823.59 and 410.75 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.24 : 823.59 = 410.75 : x
  2. Step 2: Convert to fraction form
    597.24/823.59 = 410.75/x
  3. Step 3: Cross multiply
    597.24x = 823.59 × 410.75
  4. Step 4: Simplify right side
    597.24x = 338,285.47
  5. Step 5: Solve for x
    x = 338,285.47/597.24
  6. Step 6: Final answer
    x = 566.41

Related Problems

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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.