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Finding the Fourth Proportional to 664.01, 916.19 and 402.02

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Solution

The fourth proportional to 664.01, 916.19 and 402.02 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.01 : 916.19 = 402.02 : x
  2. Step 2: Convert to fraction form
    664.01/916.19 = 402.02/x
  3. Step 3: Cross multiply
    664.01x = 916.19 × 402.02
  4. Step 4: Simplify right side
    664.01x = 368,324.69
  5. Step 5: Solve for x
    x = 368,324.69/664.01
  6. Step 6: Final answer
    x = 554.70

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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.