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Finding the Fourth Proportional to 332.08, 458.91 and 266.47

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Solution

The fourth proportional to 332.08, 458.91 and 266.47 is: 368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.08 : 458.91 = 266.47 : x
  2. Step 2: Convert to fraction form
    332.08/458.91 = 266.47/x
  3. Step 3: Cross multiply
    332.08x = 458.91 × 266.47
  4. Step 4: Simplify right side
    332.08x = 122,282.12
  5. Step 5: Solve for x
    x = 122,282.12/332.08
  6. Step 6: Final answer
    x = 368.24

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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.