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Finding the Fourth Proportional to 664.42, 916.74 and 402.40

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Solution

The fourth proportional to 664.42, 916.74 and 402.40 is: 555.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.42 : 916.74 = 402.40 : x
  2. Step 2: Convert to fraction form
    664.42/916.74 = 402.40/x
  3. Step 3: Cross multiply
    664.42x = 916.74 × 402.40
  4. Step 4: Simplify right side
    664.42x = 368,896.18
  5. Step 5: Solve for x
    x = 368,896.18/664.42
  6. Step 6: Final answer
    x = 555.22

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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.