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Finding the Fourth Proportional to 509.06, 762.10 and 460.42

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Solution

The fourth proportional to 509.06, 762.10 and 460.42 is: 689.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.06 : 762.10 = 460.42 : x
  2. Step 2: Convert to fraction form
    509.06/762.10 = 460.42/x
  3. Step 3: Cross multiply
    509.06x = 762.10 × 460.42
  4. Step 4: Simplify right side
    509.06x = 350,887.61
  5. Step 5: Solve for x
    x = 350,887.61/509.06
  6. Step 6: Final answer
    x = 689.29

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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.