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Finding the Fourth Proportional to 393.64, 542.82 and 370.42

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Solution

The fourth proportional to 393.64, 542.82 and 370.42 is: 510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.64 : 542.82 = 370.42 : x
  2. Step 2: Convert to fraction form
    393.64/542.82 = 370.42/x
  3. Step 3: Cross multiply
    393.64x = 542.82 × 370.42
  4. Step 4: Simplify right side
    393.64x = 201,071.38
  5. Step 5: Solve for x
    x = 201,071.38/393.64
  6. Step 6: Final answer
    x = 510.80

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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.