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Finding the Fourth Proportional to 310.62, 429.05 and 258.38

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Solution

The fourth proportional to 310.62, 429.05 and 258.38 is: 356.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.62 : 429.05 = 258.38 : x
  2. Step 2: Convert to fraction form
    310.62/429.05 = 258.38/x
  3. Step 3: Cross multiply
    310.62x = 429.05 × 258.38
  4. Step 4: Simplify right side
    310.62x = 110,854.50
  5. Step 5: Solve for x
    x = 110,854.50/310.62
  6. Step 6: Final answer
    x = 356.88

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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.