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Finding the Fourth Proportional to 584.50, 875.23 and 567.19

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Solution

The fourth proportional to 584.50, 875.23 and 567.19 is: 849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.50 : 875.23 = 567.19 : x
  2. Step 2: Convert to fraction form
    584.50/875.23 = 567.19/x
  3. Step 3: Cross multiply
    584.50x = 875.23 × 567.19
  4. Step 4: Simplify right side
    584.50x = 496,421.70
  5. Step 5: Solve for x
    x = 496,421.70/584.50
  6. Step 6: Final answer
    x = 849.31

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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.