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Finding the Fourth Proportional to 496.65, 741.34 and 460

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Solution

The fourth proportional to 496.65, 741.34 and 460 is: 686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.65 : 741.34 = 460 : x
  2. Step 2: Convert to fraction form
    496.65/741.34 = 460/x
  3. Step 3: Cross multiply
    496.65x = 741.34 × 460
  4. Step 4: Simplify right side
    496.65x = 341,016.40
  5. Step 5: Solve for x
    x = 341,016.40/496.65
  6. Step 6: Final answer
    x = 686.63

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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.