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Finding the Fourth Proportional to 497.95, 747.16 and 267.03

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Solution

The fourth proportional to 497.95, 747.16 and 267.03 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.95 : 747.16 = 267.03 : x
  2. Step 2: Convert to fraction form
    497.95/747.16 = 267.03/x
  3. Step 3: Cross multiply
    497.95x = 747.16 × 267.03
  4. Step 4: Simplify right side
    497.95x = 199,513.47
  5. Step 5: Solve for x
    x = 199,513.47/497.95
  6. Step 6: Final answer
    x = 400.67

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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.