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Finding the Fourth Proportional to 495.46, 738.83 and 460.83

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Solution

The fourth proportional to 495.46, 738.83 and 460.83 is: 687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.46 : 738.83 = 460.83 : x
  2. Step 2: Convert to fraction form
    495.46/738.83 = 460.83/x
  3. Step 3: Cross multiply
    495.46x = 738.83 × 460.83
  4. Step 4: Simplify right side
    495.46x = 340,472.72
  5. Step 5: Solve for x
    x = 340,472.72/495.46
  6. Step 6: Final answer
    x = 687.19

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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.