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Finding the Fourth Proportional to 664.65, 916.88 and 465.39

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Solution

The fourth proportional to 664.65, 916.88 and 465.39 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 916.88 = 465.39 : x
  2. Step 2: Convert to fraction form
    664.65/916.88 = 465.39/x
  3. Step 3: Cross multiply
    664.65x = 916.88 × 465.39
  4. Step 4: Simplify right side
    664.65x = 426,704.46
  5. Step 5: Solve for x
    x = 426,704.46/664.65
  6. Step 6: Final answer
    x = 642.00

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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.