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Finding the Fourth Proportional to 583.64, 876.22 and 498.68

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Solution

The fourth proportional to 583.64, 876.22 and 498.68 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.64 : 876.22 = 498.68 : x
  2. Step 2: Convert to fraction form
    583.64/876.22 = 498.68/x
  3. Step 3: Cross multiply
    583.64x = 876.22 × 498.68
  4. Step 4: Simplify right side
    583.64x = 436,953.39
  5. Step 5: Solve for x
    x = 436,953.39/583.64
  6. Step 6: Final answer
    x = 748.67

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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.