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Finding the Fourth Proportional to 631.74, 872.16 and 410.58

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Solution

The fourth proportional to 631.74, 872.16 and 410.58 is: 566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.74 : 872.16 = 410.58 : x
  2. Step 2: Convert to fraction form
    631.74/872.16 = 410.58/x
  3. Step 3: Cross multiply
    631.74x = 872.16 × 410.58
  4. Step 4: Simplify right side
    631.74x = 358,091.45
  5. Step 5: Solve for x
    x = 358,091.45/631.74
  6. Step 6: Final answer
    x = 566.83

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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.