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Finding the Fourth Proportional to 587.05, 881.93 and 414.12

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Solution

The fourth proportional to 587.05, 881.93 and 414.12 is: 622.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.05 : 881.93 = 414.12 : x
  2. Step 2: Convert to fraction form
    587.05/881.93 = 414.12/x
  3. Step 3: Cross multiply
    587.05x = 881.93 × 414.12
  4. Step 4: Simplify right side
    587.05x = 365,218.37
  5. Step 5: Solve for x
    x = 365,218.37/587.05
  6. Step 6: Final answer
    x = 622.12

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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.