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Finding the Fourth Proportional to 506.07, 697.68 and 337.95

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Solution

The fourth proportional to 506.07, 697.68 and 337.95 is: 465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.07 : 697.68 = 337.95 : x
  2. Step 2: Convert to fraction form
    506.07/697.68 = 337.95/x
  3. Step 3: Cross multiply
    506.07x = 697.68 × 337.95
  4. Step 4: Simplify right side
    506.07x = 235,780.96
  5. Step 5: Solve for x
    x = 235,780.96/506.07
  6. Step 6: Final answer
    x = 465.91

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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.