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Finding the Fourth Proportional to 332.38, 457.23 and 319.06

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Solution

The fourth proportional to 332.38, 457.23 and 319.06 is: 438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 457.23 = 319.06 : x
  2. Step 2: Convert to fraction form
    332.38/457.23 = 319.06/x
  3. Step 3: Cross multiply
    332.38x = 457.23 × 319.06
  4. Step 4: Simplify right side
    332.38x = 145,883.80
  5. Step 5: Solve for x
    x = 145,883.80/332.38
  6. Step 6: Final answer
    x = 438.91

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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.