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Finding the Fourth Proportional to 393.32, 542.58 and 260.78

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Solution

The fourth proportional to 393.32, 542.58 and 260.78 is: 359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.32 : 542.58 = 260.78 : x
  2. Step 2: Convert to fraction form
    393.32/542.58 = 260.78/x
  3. Step 3: Cross multiply
    393.32x = 542.58 × 260.78
  4. Step 4: Simplify right side
    393.32x = 141,494.01
  5. Step 5: Solve for x
    x = 141,494.01/393.32
  6. Step 6: Final answer
    x = 359.74

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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.