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Finding the Fourth Proportional to 393.04, 542.34 and 235.66

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Solution

The fourth proportional to 393.04, 542.34 and 235.66 is: 325.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.04 : 542.34 = 235.66 : x
  2. Step 2: Convert to fraction form
    393.04/542.34 = 235.66/x
  3. Step 3: Cross multiply
    393.04x = 542.34 × 235.66
  4. Step 4: Simplify right side
    393.04x = 127,807.84
  5. Step 5: Solve for x
    x = 127,807.84/393.04
  6. Step 6: Final answer
    x = 325.18

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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.