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Finding the Fourth Proportional to 562.79, 775.85 and 427.92

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Solution

The fourth proportional to 562.79, 775.85 and 427.92 is: 589.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.79 : 775.85 = 427.92 : x
  2. Step 2: Convert to fraction form
    562.79/775.85 = 427.92/x
  3. Step 3: Cross multiply
    562.79x = 775.85 × 427.92
  4. Step 4: Simplify right side
    562.79x = 331,999.59
  5. Step 5: Solve for x
    x = 331,999.59/562.79
  6. Step 6: Final answer
    x = 589.92

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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.