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Finding the Fourth Proportional to 498.26, 687.68 and 373.72

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Solution

The fourth proportional to 498.26, 687.68 and 373.72 is: 515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.26 : 687.68 = 373.72 : x
  2. Step 2: Convert to fraction form
    498.26/687.68 = 373.72/x
  3. Step 3: Cross multiply
    498.26x = 687.68 × 373.72
  4. Step 4: Simplify right side
    498.26x = 256,999.77
  5. Step 5: Solve for x
    x = 256,999.77/498.26
  6. Step 6: Final answer
    x = 515.79

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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.