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Finding the Fourth Proportional to 587.94, 881.46 and 279.66

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Solution

The fourth proportional to 587.94, 881.46 and 279.66 is: 419.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 881.46 = 279.66 : x
  2. Step 2: Convert to fraction form
    587.94/881.46 = 279.66/x
  3. Step 3: Cross multiply
    587.94x = 881.46 × 279.66
  4. Step 4: Simplify right side
    587.94x = 246,509.10
  5. Step 5: Solve for x
    x = 246,509.10/587.94
  6. Step 6: Final answer
    x = 419.28

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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.