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Finding the Fourth Proportional to 509.89, 760.45 and 460.68

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Solution

The fourth proportional to 509.89, 760.45 and 460.68 is: 687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.89 : 760.45 = 460.68 : x
  2. Step 2: Convert to fraction form
    509.89/760.45 = 460.68/x
  3. Step 3: Cross multiply
    509.89x = 760.45 × 460.68
  4. Step 4: Simplify right side
    509.89x = 350,324.11
  5. Step 5: Solve for x
    x = 350,324.11/509.89
  6. Step 6: Final answer
    x = 687.06

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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.