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Finding the Fourth Proportional to 474.70, 711.28 and 291.72

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Solution

The fourth proportional to 474.70, 711.28 and 291.72 is: 437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.70 : 711.28 = 291.72 : x
  2. Step 2: Convert to fraction form
    474.70/711.28 = 291.72/x
  3. Step 3: Cross multiply
    474.70x = 711.28 × 291.72
  4. Step 4: Simplify right side
    474.70x = 207,494.60
  5. Step 5: Solve for x
    x = 207,494.60/474.70
  6. Step 6: Final answer
    x = 437.11

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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.