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Finding the Fourth Proportional to 527.52, 790.25 and 295.71

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Solution

The fourth proportional to 527.52, 790.25 and 295.71 is: 442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.52 : 790.25 = 295.71 : x
  2. Step 2: Convert to fraction form
    527.52/790.25 = 295.71/x
  3. Step 3: Cross multiply
    527.52x = 790.25 × 295.71
  4. Step 4: Simplify right side
    527.52x = 233,683.35
  5. Step 5: Solve for x
    x = 233,683.35/527.52
  6. Step 6: Final answer
    x = 442.98

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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.