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Finding the Fourth Proportional to 416.19, 574.04 and 291.87

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Solution

The fourth proportional to 416.19, 574.04 and 291.87 is: 402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 574.04 = 291.87 : x
  2. Step 2: Convert to fraction form
    416.19/574.04 = 291.87/x
  3. Step 3: Cross multiply
    416.19x = 574.04 × 291.87
  4. Step 4: Simplify right side
    416.19x = 167,545.76
  5. Step 5: Solve for x
    x = 167,545.76/416.19
  6. Step 6: Final answer
    x = 402.58

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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.