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Finding the Fourth Proportional to 495.92, 744.49 and 476.35

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Solution

The fourth proportional to 495.92, 744.49 and 476.35 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.92 : 744.49 = 476.35 : x
  2. Step 2: Convert to fraction form
    495.92/744.49 = 476.35/x
  3. Step 3: Cross multiply
    495.92x = 744.49 × 476.35
  4. Step 4: Simplify right side
    495.92x = 354,636.55
  5. Step 5: Solve for x
    x = 354,636.55/495.92
  6. Step 6: Final answer
    x = 715.10

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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.