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Finding the Fourth Proportional to 461.48, 691.84 and 266.16

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Solution

The fourth proportional to 461.48, 691.84 and 266.16 is: 399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.48 : 691.84 = 266.16 : x
  2. Step 2: Convert to fraction form
    461.48/691.84 = 266.16/x
  3. Step 3: Cross multiply
    461.48x = 691.84 × 266.16
  4. Step 4: Simplify right side
    461.48x = 184,140.13
  5. Step 5: Solve for x
    x = 184,140.13/461.48
  6. Step 6: Final answer
    x = 399.02

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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.