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Finding the Fourth Proportional to 600.62, 899.54 and 584.22

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Solution

The fourth proportional to 600.62, 899.54 and 584.22 is: 874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 899.54 = 584.22 : x
  2. Step 2: Convert to fraction form
    600.62/899.54 = 584.22/x
  3. Step 3: Cross multiply
    600.62x = 899.54 × 584.22
  4. Step 4: Simplify right side
    600.62x = 525,526.34
  5. Step 5: Solve for x
    x = 525,526.34/600.62
  6. Step 6: Final answer
    x = 874.98

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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.