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Finding the Fourth Proportional to 527.32, 790.97 and 162.10

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Solution

The fourth proportional to 527.32, 790.97 and 162.10 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.32 : 790.97 = 162.10 : x
  2. Step 2: Convert to fraction form
    527.32/790.97 = 162.10/x
  3. Step 3: Cross multiply
    527.32x = 790.97 × 162.10
  4. Step 4: Simplify right side
    527.32x = 128,216.24
  5. Step 5: Solve for x
    x = 128,216.24/527.32
  6. Step 6: Final answer
    x = 243.15

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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.