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Finding the Fourth Proportional to 583.85, 874.50 and 366.36

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Solution

The fourth proportional to 583.85, 874.50 and 366.36 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.85 : 874.50 = 366.36 : x
  2. Step 2: Convert to fraction form
    583.85/874.50 = 366.36/x
  3. Step 3: Cross multiply
    583.85x = 874.50 × 366.36
  4. Step 4: Simplify right side
    583.85x = 320,381.82
  5. Step 5: Solve for x
    x = 320,381.82/583.85
  6. Step 6: Final answer
    x = 548.74

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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.