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Finding the Fourth Proportional to 587.16, 880.11 and 262.08

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Solution

The fourth proportional to 587.16, 880.11 and 262.08 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 880.11 = 262.08 : x
  2. Step 2: Convert to fraction form
    587.16/880.11 = 262.08/x
  3. Step 3: Cross multiply
    587.16x = 880.11 × 262.08
  4. Step 4: Simplify right side
    587.16x = 230,659.23
  5. Step 5: Solve for x
    x = 230,659.23/587.16
  6. Step 6: Final answer
    x = 392.84

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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.