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Finding the Fourth Proportional to 331.60, 457.91 and 266.58

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Solution

The fourth proportional to 331.60, 457.91 and 266.58 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.60 : 457.91 = 266.58 : x
  2. Step 2: Convert to fraction form
    331.60/457.91 = 266.58/x
  3. Step 3: Cross multiply
    331.60x = 457.91 × 266.58
  4. Step 4: Simplify right side
    331.60x = 122,069.65
  5. Step 5: Solve for x
    x = 122,069.65/331.60
  6. Step 6: Final answer
    x = 368.12

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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.