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Finding the Fourth Proportional to 492.24, 734.55 and 437.70

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Solution

The fourth proportional to 492.24, 734.55 and 437.70 is: 653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.24 : 734.55 = 437.70 : x
  2. Step 2: Convert to fraction form
    492.24/734.55 = 437.70/x
  3. Step 3: Cross multiply
    492.24x = 734.55 × 437.70
  4. Step 4: Simplify right side
    492.24x = 321,512.54
  5. Step 5: Solve for x
    x = 321,512.54/492.24
  6. Step 6: Final answer
    x = 653.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.