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Finding the Fourth Proportional to 390.84, 586.13 and 185.24

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Solution

The fourth proportional to 390.84, 586.13 and 185.24 is: 277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.84 : 586.13 = 185.24 : x
  2. Step 2: Convert to fraction form
    390.84/586.13 = 185.24/x
  3. Step 3: Cross multiply
    390.84x = 586.13 × 185.24
  4. Step 4: Simplify right side
    390.84x = 108,570.86
  5. Step 5: Solve for x
    x = 108,570.86/390.84
  6. Step 6: Final answer
    x = 277.79

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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.