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Finding the Fourth Proportional to 527.87, 790.17 and 365.46

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Solution

The fourth proportional to 527.87, 790.17 and 365.46 is: 547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.87 : 790.17 = 365.46 : x
  2. Step 2: Convert to fraction form
    527.87/790.17 = 365.46/x
  3. Step 3: Cross multiply
    527.87x = 790.17 × 365.46
  4. Step 4: Simplify right side
    527.87x = 288,775.53
  5. Step 5: Solve for x
    x = 288,775.53/527.87
  6. Step 6: Final answer
    x = 547.06

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Why These Related Problems?

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