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Finding the Fourth Proportional to 406.71, 559.18 and 362.02

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Solution

The fourth proportional to 406.71, 559.18 and 362.02 is: 497.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.71 : 559.18 = 362.02 : x
  2. Step 2: Convert to fraction form
    406.71/559.18 = 362.02/x
  3. Step 3: Cross multiply
    406.71x = 559.18 × 362.02
  4. Step 4: Simplify right side
    406.71x = 202,434.34
  5. Step 5: Solve for x
    x = 202,434.34/406.71
  6. Step 6: Final answer
    x = 497.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.