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Finding the Fourth Proportional to 532.62, 735.21 and 401.94

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Solution

The fourth proportional to 532.62, 735.21 and 401.94 is: 554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.62 : 735.21 = 401.94 : x
  2. Step 2: Convert to fraction form
    532.62/735.21 = 401.94/x
  3. Step 3: Cross multiply
    532.62x = 735.21 × 401.94
  4. Step 4: Simplify right side
    532.62x = 295,510.31
  5. Step 5: Solve for x
    x = 295,510.31/532.62
  6. Step 6: Final answer
    x = 554.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.