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Finding the Fourth Proportional to 631.69, 872.03 and 410.90

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Solution

The fourth proportional to 631.69, 872.03 and 410.90 is: 567.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.69 : 872.03 = 410.90 : x
  2. Step 2: Convert to fraction form
    631.69/872.03 = 410.90/x
  3. Step 3: Cross multiply
    631.69x = 872.03 × 410.90
  4. Step 4: Simplify right side
    631.69x = 358,313.79
  5. Step 5: Solve for x
    x = 358,313.79/631.69
  6. Step 6: Final answer
    x = 567.23

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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.