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Finding the Fourth Proportional to 406.73, 560.52 and 296.00

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Solution

The fourth proportional to 406.73, 560.52 and 296.00 is: 407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.73 : 560.52 = 296.00 : x
  2. Step 2: Convert to fraction form
    406.73/560.52 = 296.00/x
  3. Step 3: Cross multiply
    406.73x = 560.52 × 296.00
  4. Step 4: Simplify right side
    406.73x = 165,913.22
  5. Step 5: Solve for x
    x = 165,913.22/406.73
  6. Step 6: Final answer
    x = 407.92

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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.