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Finding the Fourth Proportional to 527.70, 728.06 and 317.90

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Solution

The fourth proportional to 527.70, 728.06 and 317.90 is: 438.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.70 : 728.06 = 317.90 : x
  2. Step 2: Convert to fraction form
    527.70/728.06 = 317.90/x
  3. Step 3: Cross multiply
    527.70x = 728.06 × 317.90
  4. Step 4: Simplify right side
    527.70x = 231,450.27
  5. Step 5: Solve for x
    x = 231,450.27/527.70
  6. Step 6: Final answer
    x = 438.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.