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Finding the Fourth Proportional to 568.78, 785.25 and 369.67

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Solution

The fourth proportional to 568.78, 785.25 and 369.67 is: 510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 785.25 = 369.67 : x
  2. Step 2: Convert to fraction form
    568.78/785.25 = 369.67/x
  3. Step 3: Cross multiply
    568.78x = 785.25 × 369.67
  4. Step 4: Simplify right side
    568.78x = 290,277.59
  5. Step 5: Solve for x
    x = 290,277.59/568.78
  6. Step 6: Final answer
    x = 510.36

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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.