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Finding the Fourth Proportional to 568.06, 852.16 and 243.24

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Solution

The fourth proportional to 568.06, 852.16 and 243.24 is: 364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 852.16 = 243.24 : x
  2. Step 2: Convert to fraction form
    568.06/852.16 = 243.24/x
  3. Step 3: Cross multiply
    568.06x = 852.16 × 243.24
  4. Step 4: Simplify right side
    568.06x = 207,279.40
  5. Step 5: Solve for x
    x = 207,279.40/568.06
  6. Step 6: Final answer
    x = 364.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.