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Finding the Fourth Proportional to 562.26, 841.91 and 463.71

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Solution

The fourth proportional to 562.26, 841.91 and 463.71 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.26 : 841.91 = 463.71 : x
  2. Step 2: Convert to fraction form
    562.26/841.91 = 463.71/x
  3. Step 3: Cross multiply
    562.26x = 841.91 × 463.71
  4. Step 4: Simplify right side
    562.26x = 390,399.77
  5. Step 5: Solve for x
    x = 390,399.77/562.26
  6. Step 6: Final answer
    x = 694.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.