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Finding the Fourth Proportional to 587.16, 880.08 and 278.76

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Solution

The fourth proportional to 587.16, 880.08 and 278.76 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 880.08 = 278.76 : x
  2. Step 2: Convert to fraction form
    587.16/880.08 = 278.76/x
  3. Step 3: Cross multiply
    587.16x = 880.08 × 278.76
  4. Step 4: Simplify right side
    587.16x = 245,331.10
  5. Step 5: Solve for x
    x = 245,331.10/587.16
  6. Step 6: Final answer
    x = 417.83

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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.