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Finding the Fourth Proportional to 527.58, 792.07 and 296.60

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Solution

The fourth proportional to 527.58, 792.07 and 296.60 is: 445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.58 : 792.07 = 296.60 : x
  2. Step 2: Convert to fraction form
    527.58/792.07 = 296.60/x
  3. Step 3: Cross multiply
    527.58x = 792.07 × 296.60
  4. Step 4: Simplify right side
    527.58x = 234,923.26
  5. Step 5: Solve for x
    x = 234,923.26/527.58
  6. Step 6: Final answer
    x = 445.28

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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.