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Finding the Fourth Proportional to 584.10, 874.98 and 364.20

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Solution

The fourth proportional to 584.10, 874.98 and 364.20 is: 545.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.10 : 874.98 = 364.20 : x
  2. Step 2: Convert to fraction form
    584.10/874.98 = 364.20/x
  3. Step 3: Cross multiply
    584.10x = 874.98 × 364.20
  4. Step 4: Simplify right side
    584.10x = 318,667.72
  5. Step 5: Solve for x
    x = 318,667.72/584.10
  6. Step 6: Final answer
    x = 545.57

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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.