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Finding the Fourth Proportional to 587.80, 881.06 and 382.51

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Solution

The fourth proportional to 587.80, 881.06 and 382.51 is: 573.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 881.06 = 382.51 : x
  2. Step 2: Convert to fraction form
    587.80/881.06 = 382.51/x
  3. Step 3: Cross multiply
    587.80x = 881.06 × 382.51
  4. Step 4: Simplify right side
    587.80x = 337,012.35
  5. Step 5: Solve for x
    x = 337,012.35/587.80
  6. Step 6: Final answer
    x = 573.35

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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.