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Finding the Fourth Proportional to 664.05, 916.47 and 402.01

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Solution

The fourth proportional to 664.05, 916.47 and 402.01 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.05 : 916.47 = 402.01 : x
  2. Step 2: Convert to fraction form
    664.05/916.47 = 402.01/x
  3. Step 3: Cross multiply
    664.05x = 916.47 × 402.01
  4. Step 4: Simplify right side
    664.05x = 368,430.10
  5. Step 5: Solve for x
    x = 368,430.10/664.05
  6. Step 6: Final answer
    x = 554.83

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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.