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Finding the Fourth Proportional to 495.60, 742.32 and 408.66

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Solution

The fourth proportional to 495.60, 742.32 and 408.66 is: 612.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.60 : 742.32 = 408.66 : x
  2. Step 2: Convert to fraction form
    495.60/742.32 = 408.66/x
  3. Step 3: Cross multiply
    495.60x = 742.32 × 408.66
  4. Step 4: Simplify right side
    495.60x = 303,356.49
  5. Step 5: Solve for x
    x = 303,356.49/495.60
  6. Step 6: Final answer
    x = 612.10

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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.