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Finding the Fourth Proportional to 393.06, 542.18 and 310.02

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Solution

The fourth proportional to 393.06, 542.18 and 310.02 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 542.18 = 310.02 : x
  2. Step 2: Convert to fraction form
    393.06/542.18 = 310.02/x
  3. Step 3: Cross multiply
    393.06x = 542.18 × 310.02
  4. Step 4: Simplify right side
    393.06x = 168,086.64
  5. Step 5: Solve for x
    x = 168,086.64/393.06
  6. Step 6: Final answer
    x = 427.64

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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.