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Finding the Fourth Proportional to 390.80, 586.38 and 185.34

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Solution

The fourth proportional to 390.80, 586.38 and 185.34 is: 278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.80 : 586.38 = 185.34 : x
  2. Step 2: Convert to fraction form
    390.80/586.38 = 185.34/x
  3. Step 3: Cross multiply
    390.80x = 586.38 × 185.34
  4. Step 4: Simplify right side
    390.80x = 108,679.67
  5. Step 5: Solve for x
    x = 108,679.67/390.80
  6. Step 6: Final answer
    x = 278.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.