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Finding the Fourth Proportional to 587, 880.86 and 245

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Solution

The fourth proportional to 587, 880.86 and 245 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    587 : 880.86 = 245 : x
  2. Step 2: Convert to fraction form
    587/880.86 = 245/x
  3. Step 3: Cross multiply
    587x = 880.86 × 245
  4. Step 4: Simplify right side
    587x = 215,810.70
  5. Step 5: Solve for x
    x = 215,810.70/587
  6. Step 6: Final answer
    x = 367.65

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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.