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Finding the Fourth Proportional to 354.58, 531.41 and 286.13

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Solution

The fourth proportional to 354.58, 531.41 and 286.13 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.58 : 531.41 = 286.13 : x
  2. Step 2: Convert to fraction form
    354.58/531.41 = 286.13/x
  3. Step 3: Cross multiply
    354.58x = 531.41 × 286.13
  4. Step 4: Simplify right side
    354.58x = 152,052.34
  5. Step 5: Solve for x
    x = 152,052.34/354.58
  6. Step 6: Final answer
    x = 428.82

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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.