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Finding the Fourth Proportional to 337.58, 506.80 and 260.60

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Solution

The fourth proportional to 337.58, 506.80 and 260.60 is: 391.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.58 : 506.80 = 260.60 : x
  2. Step 2: Convert to fraction form
    337.58/506.80 = 260.60/x
  3. Step 3: Cross multiply
    337.58x = 506.80 × 260.60
  4. Step 4: Simplify right side
    337.58x = 132,068.89
  5. Step 5: Solve for x
    x = 132,068.89/337.58
  6. Step 6: Final answer
    x = 391.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.