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Finding the Fourth Proportional to 391.53, 586.62 and 314.04

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Solution

The fourth proportional to 391.53, 586.62 and 314.04 is: 470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.53 : 586.62 = 314.04 : x
  2. Step 2: Convert to fraction form
    391.53/586.62 = 314.04/x
  3. Step 3: Cross multiply
    391.53x = 586.62 × 314.04
  4. Step 4: Simplify right side
    391.53x = 184,222.14
  5. Step 5: Solve for x
    x = 184,222.14/391.53
  6. Step 6: Final answer
    x = 470.52

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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.