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Finding the Fourth Proportional to 562.96, 776.62 and 397.20

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Solution

The fourth proportional to 562.96, 776.62 and 397.20 is: 547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.96 : 776.62 = 397.20 : x
  2. Step 2: Convert to fraction form
    562.96/776.62 = 397.20/x
  3. Step 3: Cross multiply
    562.96x = 776.62 × 397.20
  4. Step 4: Simplify right side
    562.96x = 308,473.46
  5. Step 5: Solve for x
    x = 308,473.46/562.96
  6. Step 6: Final answer
    x = 547.95

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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.