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Finding the Fourth Proportional to 332.88, 495.98 and 314.25

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Solution

The fourth proportional to 332.88, 495.98 and 314.25 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.88 : 495.98 = 314.25 : x
  2. Step 2: Convert to fraction form
    332.88/495.98 = 314.25/x
  3. Step 3: Cross multiply
    332.88x = 495.98 × 314.25
  4. Step 4: Simplify right side
    332.88x = 155,860.14
  5. Step 5: Solve for x
    x = 155,860.14/332.88
  6. Step 6: Final answer
    x = 468.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.