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Finding the Fourth Proportional to 606.29, 836.82 and 565.25

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Solution

The fourth proportional to 606.29, 836.82 and 565.25 is: 780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.29 : 836.82 = 565.25 : x
  2. Step 2: Convert to fraction form
    606.29/836.82 = 565.25/x
  3. Step 3: Cross multiply
    606.29x = 836.82 × 565.25
  4. Step 4: Simplify right side
    606.29x = 473,008.32
  5. Step 5: Solve for x
    x = 473,008.32/606.29
  6. Step 6: Final answer
    x = 780.17

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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.