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Finding the Fourth Proportional to 687.13, 948.16 and 407.31

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Solution

The fourth proportional to 687.13, 948.16 and 407.31 is: 562.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.13 : 948.16 = 407.31 : x
  2. Step 2: Convert to fraction form
    687.13/948.16 = 407.31/x
  3. Step 3: Cross multiply
    687.13x = 948.16 × 407.31
  4. Step 4: Simplify right side
    687.13x = 386,195.05
  5. Step 5: Solve for x
    x = 386,195.05/687.13
  6. Step 6: Final answer
    x = 562.04

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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.