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Finding the Fourth Proportional to 527.46, 790.56 and 296.07

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Solution

The fourth proportional to 527.46, 790.56 and 296.07 is: 443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.46 : 790.56 = 296.07 : x
  2. Step 2: Convert to fraction form
    527.46/790.56 = 296.07/x
  3. Step 3: Cross multiply
    527.46x = 790.56 × 296.07
  4. Step 4: Simplify right side
    527.46x = 234,061.10
  5. Step 5: Solve for x
    x = 234,061.10/527.46
  6. Step 6: Final answer
    x = 443.75

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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.