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Finding the Fourth Proportional to 362.42, 542.58 and 284.66

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Solution

The fourth proportional to 362.42, 542.58 and 284.66 is: 426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 542.58 = 284.66 : x
  2. Step 2: Convert to fraction form
    362.42/542.58 = 284.66/x
  3. Step 3: Cross multiply
    362.42x = 542.58 × 284.66
  4. Step 4: Simplify right side
    362.42x = 154,450.82
  5. Step 5: Solve for x
    x = 154,450.82/362.42
  6. Step 6: Final answer
    x = 426.17

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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.