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Finding the Fourth Proportional to 406.49, 560.66 and 332.64

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Solution

The fourth proportional to 406.49, 560.66 and 332.64 is: 458.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.49 : 560.66 = 332.64 : x
  2. Step 2: Convert to fraction form
    406.49/560.66 = 332.64/x
  3. Step 3: Cross multiply
    406.49x = 560.66 × 332.64
  4. Step 4: Simplify right side
    406.49x = 186,496.28
  5. Step 5: Solve for x
    x = 186,496.28/406.49
  6. Step 6: Final answer
    x = 458.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.