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Finding the Fourth Proportional to 568.86, 785.13 and 369.78

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Solution

The fourth proportional to 568.86, 785.13 and 369.78 is: 510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 785.13 = 369.78 : x
  2. Step 2: Convert to fraction form
    568.86/785.13 = 369.78/x
  3. Step 3: Cross multiply
    568.86x = 785.13 × 369.78
  4. Step 4: Simplify right side
    568.86x = 290,325.37
  5. Step 5: Solve for x
    x = 290,325.37/568.86
  6. Step 6: Final answer
    x = 510.36

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Why These Related Problems?

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