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Finding the Fourth Proportional to 532.26, 735.66 and 401.04

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Solution

The fourth proportional to 532.26, 735.66 and 401.04 is: 554.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.26 : 735.66 = 401.04 : x
  2. Step 2: Convert to fraction form
    532.26/735.66 = 401.04/x
  3. Step 3: Cross multiply
    532.26x = 735.66 × 401.04
  4. Step 4: Simplify right side
    532.26x = 295,029.09
  5. Step 5: Solve for x
    x = 295,029.09/532.26
  6. Step 6: Final answer
    x = 554.30

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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.