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Finding the Fourth Proportional to 508.48, 759.98 and 467.47

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Solution

The fourth proportional to 508.48, 759.98 and 467.47 is: 698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.48 : 759.98 = 467.47 : x
  2. Step 2: Convert to fraction form
    508.48/759.98 = 467.47/x
  3. Step 3: Cross multiply
    508.48x = 759.98 × 467.47
  4. Step 4: Simplify right side
    508.48x = 355,269.97
  5. Step 5: Solve for x
    x = 355,269.97/508.48
  6. Step 6: Final answer
    x = 698.69

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Why These Related Problems?

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