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Finding the Fourth Proportional to 332.16, 456.96 and 314.88

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Solution

The fourth proportional to 332.16, 456.96 and 314.88 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 456.96 = 314.88 : x
  2. Step 2: Convert to fraction form
    332.16/456.96 = 314.88/x
  3. Step 3: Cross multiply
    332.16x = 456.96 × 314.88
  4. Step 4: Simplify right side
    332.16x = 143,887.56
  5. Step 5: Solve for x
    x = 143,887.56/332.16
  6. Step 6: Final answer
    x = 433.19

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Why These Related Problems?

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