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Finding the Fourth Proportional to 508.75, 762.69 and 463.61

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Solution

The fourth proportional to 508.75, 762.69 and 463.61 is: 695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.75 : 762.69 = 463.61 : x
  2. Step 2: Convert to fraction form
    508.75/762.69 = 463.61/x
  3. Step 3: Cross multiply
    508.75x = 762.69 × 463.61
  4. Step 4: Simplify right side
    508.75x = 353,590.71
  5. Step 5: Solve for x
    x = 353,590.71/508.75
  6. Step 6: Final answer
    x = 695.02

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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.