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Finding the Fourth Proportional to 332.29, 458.22 and 312.70

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Solution

The fourth proportional to 332.29, 458.22 and 312.70 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.29 : 458.22 = 312.70 : x
  2. Step 2: Convert to fraction form
    332.29/458.22 = 312.70/x
  3. Step 3: Cross multiply
    332.29x = 458.22 × 312.70
  4. Step 4: Simplify right side
    332.29x = 143,285.39
  5. Step 5: Solve for x
    x = 143,285.39/332.29
  6. Step 6: Final answer
    x = 431.21

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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.