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Finding the Fourth Proportional to 664.32, 916.52 and 402.24

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Solution

The fourth proportional to 664.32, 916.52 and 402.24 is: 554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 916.52 = 402.24 : x
  2. Step 2: Convert to fraction form
    664.32/916.52 = 402.24/x
  3. Step 3: Cross multiply
    664.32x = 916.52 × 402.24
  4. Step 4: Simplify right side
    664.32x = 368,661.00
  5. Step 5: Solve for x
    x = 368,661.00/664.32
  6. Step 6: Final answer
    x = 554.94

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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.