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Finding the Fourth Proportional to 562.82, 777.03 and 363.74

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Solution

The fourth proportional to 562.82, 777.03 and 363.74 is: 502.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.82 : 777.03 = 363.74 : x
  2. Step 2: Convert to fraction form
    562.82/777.03 = 363.74/x
  3. Step 3: Cross multiply
    562.82x = 777.03 × 363.74
  4. Step 4: Simplify right side
    562.82x = 282,636.89
  5. Step 5: Solve for x
    x = 282,636.89/562.82
  6. Step 6: Final answer
    x = 502.18

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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.