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Finding the Fourth Proportional to 583.29, 874.59 and 496.67

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Solution

The fourth proportional to 583.29, 874.59 and 496.67 is: 744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.29 : 874.59 = 496.67 : x
  2. Step 2: Convert to fraction form
    583.29/874.59 = 496.67/x
  3. Step 3: Cross multiply
    583.29x = 874.59 × 496.67
  4. Step 4: Simplify right side
    583.29x = 434,378.24
  5. Step 5: Solve for x
    x = 434,378.24/583.29
  6. Step 6: Final answer
    x = 744.70

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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.