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Finding the Fourth Proportional to 332.74, 458.31 and 313.69

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Solution

The fourth proportional to 332.74, 458.31 and 313.69 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.74 : 458.31 = 313.69 : x
  2. Step 2: Convert to fraction form
    332.74/458.31 = 313.69/x
  3. Step 3: Cross multiply
    332.74x = 458.31 × 313.69
  4. Step 4: Simplify right side
    332.74x = 143,767.26
  5. Step 5: Solve for x
    x = 143,767.26/332.74
  6. Step 6: Final answer
    x = 432.07

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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.