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Finding the Fourth Proportional to 587.84, 881.52 and 414.08

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Solution

The fourth proportional to 587.84, 881.52 and 414.08 is: 620.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.84 : 881.52 = 414.08 : x
  2. Step 2: Convert to fraction form
    587.84/881.52 = 414.08/x
  3. Step 3: Cross multiply
    587.84x = 881.52 × 414.08
  4. Step 4: Simplify right side
    587.84x = 365,019.80
  5. Step 5: Solve for x
    x = 365,019.80/587.84
  6. Step 6: Final answer
    x = 620.95

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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.