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Finding the Fourth Proportional to 332.97, 457.05 and 295.30

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Solution

The fourth proportional to 332.97, 457.05 and 295.30 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.97 : 457.05 = 295.30 : x
  2. Step 2: Convert to fraction form
    332.97/457.05 = 295.30/x
  3. Step 3: Cross multiply
    332.97x = 457.05 × 295.30
  4. Step 4: Simplify right side
    332.97x = 134,968.38
  5. Step 5: Solve for x
    x = 134,968.38/332.97
  6. Step 6: Final answer
    x = 405.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.