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Finding the Fourth Proportional to 499.05, 747.12 and 411.57

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Solution

The fourth proportional to 499.05, 747.12 and 411.57 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.05 : 747.12 = 411.57 : x
  2. Step 2: Convert to fraction form
    499.05/747.12 = 411.57/x
  3. Step 3: Cross multiply
    499.05x = 747.12 × 411.57
  4. Step 4: Simplify right side
    499.05x = 307,492.18
  5. Step 5: Solve for x
    x = 307,492.18/499.05
  6. Step 6: Final answer
    x = 616.16

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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.