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Finding the Fourth Proportional to 527.88, 792.06 and 432.36

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Solution

The fourth proportional to 527.88, 792.06 and 432.36 is: 648.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.88 : 792.06 = 432.36 : x
  2. Step 2: Convert to fraction form
    527.88/792.06 = 432.36/x
  3. Step 3: Cross multiply
    527.88x = 792.06 × 432.36
  4. Step 4: Simplify right side
    527.88x = 342,455.06
  5. Step 5: Solve for x
    x = 342,455.06/527.88
  6. Step 6: Final answer
    x = 648.74

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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.