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Finding the Fourth Proportional to 590.85, 887.64 and 567.61

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Solution

The fourth proportional to 590.85, 887.64 and 567.61 is: 852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.85 : 887.64 = 567.61 : x
  2. Step 2: Convert to fraction form
    590.85/887.64 = 567.61/x
  3. Step 3: Cross multiply
    590.85x = 887.64 × 567.61
  4. Step 4: Simplify right side
    590.85x = 503,833.34
  5. Step 5: Solve for x
    x = 503,833.34/590.85
  6. Step 6: Final answer
    x = 852.73

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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.