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Finding the Fourth Proportional to 498.23, 747.56 and 267.06

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Solution

The fourth proportional to 498.23, 747.56 and 267.06 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.23 : 747.56 = 267.06 : x
  2. Step 2: Convert to fraction form
    498.23/747.56 = 267.06/x
  3. Step 3: Cross multiply
    498.23x = 747.56 × 267.06
  4. Step 4: Simplify right side
    498.23x = 199,643.37
  5. Step 5: Solve for x
    x = 199,643.37/498.23
  6. Step 6: Final answer
    x = 400.71

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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.