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Finding the Fourth Proportional to 509.76, 763.68 and 459.04

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Solution

The fourth proportional to 509.76, 763.68 and 459.04 is: 687.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.76 : 763.68 = 459.04 : x
  2. Step 2: Convert to fraction form
    509.76/763.68 = 459.04/x
  3. Step 3: Cross multiply
    509.76x = 763.68 × 459.04
  4. Step 4: Simplify right side
    509.76x = 350,559.67
  5. Step 5: Solve for x
    x = 350,559.67/509.76
  6. Step 6: Final answer
    x = 687.70

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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.