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Finding the Fourth Proportional to 498, 746.48 and 360.70

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Solution

The fourth proportional to 498, 746.48 and 360.70 is: 540.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 746.48 = 360.70 : x
  2. Step 2: Convert to fraction form
    498/746.48 = 360.70/x
  3. Step 3: Cross multiply
    498x = 746.48 × 360.70
  4. Step 4: Simplify right side
    498x = 269,255.34
  5. Step 5: Solve for x
    x = 269,255.34/498
  6. Step 6: Final answer
    x = 540.67

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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.