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Finding the Fourth Proportional to 562.13, 776.22 and 537.08

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Solution

The fourth proportional to 562.13, 776.22 and 537.08 is: 741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.13 : 776.22 = 537.08 : x
  2. Step 2: Convert to fraction form
    562.13/776.22 = 537.08/x
  3. Step 3: Cross multiply
    562.13x = 776.22 × 537.08
  4. Step 4: Simplify right side
    562.13x = 416,892.24
  5. Step 5: Solve for x
    x = 416,892.24/562.13
  6. Step 6: Final answer
    x = 741.63

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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.