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Finding the Fourth Proportional to 488.07, 732.69 and 410.85

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Solution

The fourth proportional to 488.07, 732.69 and 410.85 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 732.69 = 410.85 : x
  2. Step 2: Convert to fraction form
    488.07/732.69 = 410.85/x
  3. Step 3: Cross multiply
    488.07x = 732.69 × 410.85
  4. Step 4: Simplify right side
    488.07x = 301,025.69
  5. Step 5: Solve for x
    x = 301,025.69/488.07
  6. Step 6: Final answer
    x = 616.77

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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.