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Finding the Fourth Proportional to 568.08, 779.76 and 568.08

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Solution

The fourth proportional to 568.08, 779.76 and 568.08 is: 779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 779.76 = 568.08 : x
  2. Step 2: Convert to fraction form
    568.08/779.76 = 568.08/x
  3. Step 3: Cross multiply
    568.08x = 779.76 × 568.08
  4. Step 4: Simplify right side
    568.08x = 442,966.06
  5. Step 5: Solve for x
    x = 442,966.06/568.08
  6. Step 6: Final answer
    x = 779.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.