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Finding the Fourth Proportional to 493.02, 740.37 and 410.67

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Solution

The fourth proportional to 493.02, 740.37 and 410.67 is: 616.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.02 : 740.37 = 410.67 : x
  2. Step 2: Convert to fraction form
    493.02/740.37 = 410.67/x
  3. Step 3: Cross multiply
    493.02x = 740.37 × 410.67
  4. Step 4: Simplify right side
    493.02x = 304,049.29
  5. Step 5: Solve for x
    x = 304,049.29/493.02
  6. Step 6: Final answer
    x = 616.71

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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.