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Finding the Fourth Proportional to 393.22, 542.32 and 260.45

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Solution

The fourth proportional to 393.22, 542.32 and 260.45 is: 359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.22 : 542.32 = 260.45 : x
  2. Step 2: Convert to fraction form
    393.22/542.32 = 260.45/x
  3. Step 3: Cross multiply
    393.22x = 542.32 × 260.45
  4. Step 4: Simplify right side
    393.22x = 141,245.91
  5. Step 5: Solve for x
    x = 141,245.91/393.22
  6. Step 6: Final answer
    x = 359.20

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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.