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Finding the Fourth Proportional to 562.92, 777.06 and 355.88

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Solution

The fourth proportional to 562.92, 777.06 and 355.88 is: 491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 777.06 = 355.88 : x
  2. Step 2: Convert to fraction form
    562.92/777.06 = 355.88/x
  3. Step 3: Cross multiply
    562.92x = 777.06 × 355.88
  4. Step 4: Simplify right side
    562.92x = 276,540.11
  5. Step 5: Solve for x
    x = 276,540.11/562.92
  6. Step 6: Final answer
    x = 491.26

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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.