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Finding the Fourth Proportional to 565.71, 779.96 and 536.36

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Solution

The fourth proportional to 565.71, 779.96 and 536.36 is: 739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.71 : 779.96 = 536.36 : x
  2. Step 2: Convert to fraction form
    565.71/779.96 = 536.36/x
  3. Step 3: Cross multiply
    565.71x = 779.96 × 536.36
  4. Step 4: Simplify right side
    565.71x = 418,332.76
  5. Step 5: Solve for x
    x = 418,332.76/565.71
  6. Step 6: Final answer
    x = 739.48

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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.