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Finding the Fourth Proportional to 462.16, 693.14 and 266.75

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Solution

The fourth proportional to 462.16, 693.14 and 266.75 is: 400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 693.14 = 266.75 : x
  2. Step 2: Convert to fraction form
    462.16/693.14 = 266.75/x
  3. Step 3: Cross multiply
    462.16x = 693.14 × 266.75
  4. Step 4: Simplify right side
    462.16x = 184,890.30
  5. Step 5: Solve for x
    x = 184,890.30/462.16
  6. Step 6: Final answer
    x = 400.06

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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.