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Finding the Fourth Proportional to 587.42, 881.13 and 236.18

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Solution

The fourth proportional to 587.42, 881.13 and 236.18 is: 354.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 881.13 = 236.18 : x
  2. Step 2: Convert to fraction form
    587.42/881.13 = 236.18/x
  3. Step 3: Cross multiply
    587.42x = 881.13 × 236.18
  4. Step 4: Simplify right side
    587.42x = 208,107.69
  5. Step 5: Solve for x
    x = 208,107.69/587.42
  6. Step 6: Final answer
    x = 354.28

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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.