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Finding the Fourth Proportional to 592.20, 886.11 and 358.07

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Solution

The fourth proportional to 592.20, 886.11 and 358.07 is: 535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.20 : 886.11 = 358.07 : x
  2. Step 2: Convert to fraction form
    592.20/886.11 = 358.07/x
  3. Step 3: Cross multiply
    592.20x = 886.11 × 358.07
  4. Step 4: Simplify right side
    592.20x = 317,289.41
  5. Step 5: Solve for x
    x = 317,289.41/592.20
  6. Step 6: Final answer
    x = 535.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.