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Finding the Fourth Proportional to 587.04, 881.10 and 496.50

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Solution

The fourth proportional to 587.04, 881.10 and 496.50 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.04 : 881.10 = 496.50 : x
  2. Step 2: Convert to fraction form
    587.04/881.10 = 496.50/x
  3. Step 3: Cross multiply
    587.04x = 881.10 × 496.50
  4. Step 4: Simplify right side
    587.04x = 437,466.15
  5. Step 5: Solve for x
    x = 437,466.15/587.04
  6. Step 6: Final answer
    x = 745.21

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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.