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Finding the Fourth Proportional to 587.16, 881.28 and 279.23

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Solution

The fourth proportional to 587.16, 881.28 and 279.23 is: 419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.16 : 881.28 = 279.23 : x
  2. Step 2: Convert to fraction form
    587.16/881.28 = 279.23/x
  3. Step 3: Cross multiply
    587.16x = 881.28 × 279.23
  4. Step 4: Simplify right side
    587.16x = 246,075.41
  5. Step 5: Solve for x
    x = 246,075.41/587.16
  6. Step 6: Final answer
    x = 419.09

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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.