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Finding the Fourth Proportional to 390.42, 586.17 and 268.92

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Solution

The fourth proportional to 390.42, 586.17 and 268.92 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.42 : 586.17 = 268.92 : x
  2. Step 2: Convert to fraction form
    390.42/586.17 = 268.92/x
  3. Step 3: Cross multiply
    390.42x = 586.17 × 268.92
  4. Step 4: Simplify right side
    390.42x = 157,632.84
  5. Step 5: Solve for x
    x = 157,632.84/390.42
  6. Step 6: Final answer
    x = 403.75

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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.