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Finding the Fourth Proportional to 601.72, 902.94 and 410.92

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Solution

The fourth proportional to 601.72, 902.94 and 410.92 is: 616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.72 : 902.94 = 410.92 : x
  2. Step 2: Convert to fraction form
    601.72/902.94 = 410.92/x
  3. Step 3: Cross multiply
    601.72x = 902.94 × 410.92
  4. Step 4: Simplify right side
    601.72x = 371,036.10
  5. Step 5: Solve for x
    x = 371,036.10/601.72
  6. Step 6: Final answer
    x = 616.63

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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.