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Finding the Fourth Proportional to 356.81, 533.82 and 240.71

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Solution

The fourth proportional to 356.81, 533.82 and 240.71 is: 360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.81 : 533.82 = 240.71 : x
  2. Step 2: Convert to fraction form
    356.81/533.82 = 240.71/x
  3. Step 3: Cross multiply
    356.81x = 533.82 × 240.71
  4. Step 4: Simplify right side
    356.81x = 128,494.05
  5. Step 5: Solve for x
    x = 128,494.05/356.81
  6. Step 6: Final answer
    x = 360.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.