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Finding the Fourth Proportional to 400.90, 601.91 and 264.82

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Solution

The fourth proportional to 400.90, 601.91 and 264.82 is: 397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.90 : 601.91 = 264.82 : x
  2. Step 2: Convert to fraction form
    400.90/601.91 = 264.82/x
  3. Step 3: Cross multiply
    400.90x = 601.91 × 264.82
  4. Step 4: Simplify right side
    400.90x = 159,397.81
  5. Step 5: Solve for x
    x = 159,397.81/400.90
  6. Step 6: Final answer
    x = 397.60

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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.