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Finding the Fourth Proportional to 740.29, 1,021.66 and 408.74

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Solution

The fourth proportional to 740.29, 1,021.66 and 408.74 is: 564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.29 : 1,021.66 = 408.74 : x
  2. Step 2: Convert to fraction form
    740.29/1,021.66 = 408.74/x
  3. Step 3: Cross multiply
    740.29x = 1,021.66 × 408.74
  4. Step 4: Simplify right side
    740.29x = 417,593.31
  5. Step 5: Solve for x
    x = 417,593.31/740.29
  6. Step 6: Final answer
    x = 564.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.