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Finding the Fourth Proportional to 669.96, 1,006.02 and 415.08

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Solution

The fourth proportional to 669.96, 1,006.02 and 415.08 is: 623.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.96 : 1,006.02 = 415.08 : x
  2. Step 2: Convert to fraction form
    669.96/1,006.02 = 415.08/x
  3. Step 3: Cross multiply
    669.96x = 1,006.02 × 415.08
  4. Step 4: Simplify right side
    669.96x = 417,578.78
  5. Step 5: Solve for x
    x = 417,578.78/669.96
  6. Step 6: Final answer
    x = 623.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.