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Finding the Fourth Proportional to 393.49, 542.63 and 260.82

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Solution

The fourth proportional to 393.49, 542.63 and 260.82 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.49 : 542.63 = 260.82 : x
  2. Step 2: Convert to fraction form
    393.49/542.63 = 260.82/x
  3. Step 3: Cross multiply
    393.49x = 542.63 × 260.82
  4. Step 4: Simplify right side
    393.49x = 141,529.41
  5. Step 5: Solve for x
    x = 141,529.41/393.49
  6. Step 6: Final answer
    x = 359.68

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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.