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Finding the Fourth Proportional to 393.53, 542.70 and 310.50

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Solution

The fourth proportional to 393.53, 542.70 and 310.50 is: 428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.53 : 542.70 = 310.50 : x
  2. Step 2: Convert to fraction form
    393.53/542.70 = 310.50/x
  3. Step 3: Cross multiply
    393.53x = 542.70 × 310.50
  4. Step 4: Simplify right side
    393.53x = 168,508.35
  5. Step 5: Solve for x
    x = 168,508.35/393.53
  6. Step 6: Final answer
    x = 428.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.