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Finding the Fourth Proportional to 532.06, 733.33 and 365.98

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Solution

The fourth proportional to 532.06, 733.33 and 365.98 is: 504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 733.33 = 365.98 : x
  2. Step 2: Convert to fraction form
    532.06/733.33 = 365.98/x
  3. Step 3: Cross multiply
    532.06x = 733.33 × 365.98
  4. Step 4: Simplify right side
    532.06x = 268,384.11
  5. Step 5: Solve for x
    x = 268,384.11/532.06
  6. Step 6: Final answer
    x = 504.43

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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.