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Finding the Fourth Proportional to 391.42, 586.12 and 310.02

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Solution

The fourth proportional to 391.42, 586.12 and 310.02 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.42 : 586.12 = 310.02 : x
  2. Step 2: Convert to fraction form
    391.42/586.12 = 310.02/x
  3. Step 3: Cross multiply
    391.42x = 586.12 × 310.02
  4. Step 4: Simplify right side
    391.42x = 181,706.53
  5. Step 5: Solve for x
    x = 181,706.53/391.42
  6. Step 6: Final answer
    x = 464.22

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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.