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Finding the Fourth Proportional to 691.65, 954.51 and 408.24

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Solution

The fourth proportional to 691.65, 954.51 and 408.24 is: 563.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.65 : 954.51 = 408.24 : x
  2. Step 2: Convert to fraction form
    691.65/954.51 = 408.24/x
  3. Step 3: Cross multiply
    691.65x = 954.51 × 408.24
  4. Step 4: Simplify right side
    691.65x = 389,669.16
  5. Step 5: Solve for x
    x = 389,669.16/691.65
  6. Step 6: Final answer
    x = 563.39

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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.