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Finding the Fourth Proportional to 587.37, 880.43 and 279.08

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Solution

The fourth proportional to 587.37, 880.43 and 279.08 is: 418.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.37 : 880.43 = 279.08 : x
  2. Step 2: Convert to fraction form
    587.37/880.43 = 279.08/x
  3. Step 3: Cross multiply
    587.37x = 880.43 × 279.08
  4. Step 4: Simplify right side
    587.37x = 245,706.00
  5. Step 5: Solve for x
    x = 245,706.00/587.37
  6. Step 6: Final answer
    x = 418.32

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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.