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Finding the Fourth Proportional to 584.39, 874.42 and 468.48

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Solution

The fourth proportional to 584.39, 874.42 and 468.48 is: 700.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.39 : 874.42 = 468.48 : x
  2. Step 2: Convert to fraction form
    584.39/874.42 = 468.48/x
  3. Step 3: Cross multiply
    584.39x = 874.42 × 468.48
  4. Step 4: Simplify right side
    584.39x = 409,647.11
  5. Step 5: Solve for x
    x = 409,647.11/584.39
  6. Step 6: Final answer
    x = 700.98

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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.