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Finding the Fourth Proportional to 532.93, 735.33 and 393.61

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Solution

The fourth proportional to 532.93, 735.33 and 393.61 is: 543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.93 : 735.33 = 393.61 : x
  2. Step 2: Convert to fraction form
    532.93/735.33 = 393.61/x
  3. Step 3: Cross multiply
    532.93x = 735.33 × 393.61
  4. Step 4: Simplify right side
    532.93x = 289,433.24
  5. Step 5: Solve for x
    x = 289,433.24/532.93
  6. Step 6: Final answer
    x = 543.10

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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.