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Finding the Fourth Proportional to 587.70, 880.20 and 574.20

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Solution

The fourth proportional to 587.70, 880.20 and 574.20 is: 859.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.70 : 880.20 = 574.20 : x
  2. Step 2: Convert to fraction form
    587.70/880.20 = 574.20/x
  3. Step 3: Cross multiply
    587.70x = 880.20 × 574.20
  4. Step 4: Simplify right side
    587.70x = 505,410.84
  5. Step 5: Solve for x
    x = 505,410.84/587.70
  6. Step 6: Final answer
    x = 859.98

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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.