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Finding the Fourth Proportional to 664.40, 916.82 and 369.70

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Solution

The fourth proportional to 664.40, 916.82 and 369.70 is: 510.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.40 : 916.82 = 369.70 : x
  2. Step 2: Convert to fraction form
    664.40/916.82 = 369.70/x
  3. Step 3: Cross multiply
    664.40x = 916.82 × 369.70
  4. Step 4: Simplify right side
    664.40x = 338,945.60
  5. Step 5: Solve for x
    x = 338,945.60/664.40
  6. Step 6: Final answer
    x = 510.15

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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.