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Finding the Fourth Proportional to 584.71, 874.90 and 468.80

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Solution

The fourth proportional to 584.71, 874.90 and 468.80 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.71 : 874.90 = 468.80 : x
  2. Step 2: Convert to fraction form
    584.71/874.90 = 468.80/x
  3. Step 3: Cross multiply
    584.71x = 874.90 × 468.80
  4. Step 4: Simplify right side
    584.71x = 410,153.12
  5. Step 5: Solve for x
    x = 410,153.12/584.71
  6. Step 6: Final answer
    x = 701.46

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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.