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Finding the Fourth Proportional to 664.45, 916.91 and 369.67

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Solution

The fourth proportional to 664.45, 916.91 and 369.67 is: 510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.45 : 916.91 = 369.67 : x
  2. Step 2: Convert to fraction form
    664.45/916.91 = 369.67/x
  3. Step 3: Cross multiply
    664.45x = 916.91 × 369.67
  4. Step 4: Simplify right side
    664.45x = 338,954.12
  5. Step 5: Solve for x
    x = 338,954.12/664.45
  6. Step 6: Final answer
    x = 510.13

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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.