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Finding the Fourth Proportional to 406.68, 560.95 and 240.76

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Solution

The fourth proportional to 406.68, 560.95 and 240.76 is: 332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.68 : 560.95 = 240.76 : x
  2. Step 2: Convert to fraction form
    406.68/560.95 = 240.76/x
  3. Step 3: Cross multiply
    406.68x = 560.95 × 240.76
  4. Step 4: Simplify right side
    406.68x = 135,054.32
  5. Step 5: Solve for x
    x = 135,054.32/406.68
  6. Step 6: Final answer
    x = 332.09

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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.