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Finding the Fourth Proportional to 664.20, 916.58 and 369.46

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Solution

The fourth proportional to 664.20, 916.58 and 369.46 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.20 : 916.58 = 369.46 : x
  2. Step 2: Convert to fraction form
    664.20/916.58 = 369.46/x
  3. Step 3: Cross multiply
    664.20x = 916.58 × 369.46
  4. Step 4: Simplify right side
    664.20x = 338,639.65
  5. Step 5: Solve for x
    x = 338,639.65/664.20
  6. Step 6: Final answer
    x = 509.85

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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.