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Finding the Fourth Proportional to 720.10, 993.29 and 498.97

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Solution

The fourth proportional to 720.10, 993.29 and 498.97 is: 688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.10 : 993.29 = 498.97 : x
  2. Step 2: Convert to fraction form
    720.10/993.29 = 498.97/x
  3. Step 3: Cross multiply
    720.10x = 993.29 × 498.97
  4. Step 4: Simplify right side
    720.10x = 495,616.93
  5. Step 5: Solve for x
    x = 495,616.93/720.10
  6. Step 6: Final answer
    x = 688.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.