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Finding the Fourth Proportional to 527.56, 790.99 and 280.62

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Solution

The fourth proportional to 527.56, 790.99 and 280.62 is: 420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.56 : 790.99 = 280.62 : x
  2. Step 2: Convert to fraction form
    527.56/790.99 = 280.62/x
  3. Step 3: Cross multiply
    527.56x = 790.99 × 280.62
  4. Step 4: Simplify right side
    527.56x = 221,967.61
  5. Step 5: Solve for x
    x = 221,967.61/527.56
  6. Step 6: Final answer
    x = 420.74

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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.