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Finding the Fourth Proportional to 390.26, 537.78 and 291.80

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Solution

The fourth proportional to 390.26, 537.78 and 291.80 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.26 : 537.78 = 291.80 : x
  2. Step 2: Convert to fraction form
    390.26/537.78 = 291.80/x
  3. Step 3: Cross multiply
    390.26x = 537.78 × 291.80
  4. Step 4: Simplify right side
    390.26x = 156,924.20
  5. Step 5: Solve for x
    x = 156,924.20/390.26
  6. Step 6: Final answer
    x = 402.10

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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.