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Finding the Fourth Proportional to 527.11, 790.64 and 284.11

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Solution

The fourth proportional to 527.11, 790.64 and 284.11 is: 426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.11 : 790.64 = 284.11 : x
  2. Step 2: Convert to fraction form
    527.11/790.64 = 284.11/x
  3. Step 3: Cross multiply
    527.11x = 790.64 × 284.11
  4. Step 4: Simplify right side
    527.11x = 224,628.73
  5. Step 5: Solve for x
    x = 224,628.73/527.11
  6. Step 6: Final answer
    x = 426.15

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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.