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Finding the Fourth Proportional to 569.77, 855.06 and 204.61

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Solution

The fourth proportional to 569.77, 855.06 and 204.61 is: 307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.77 : 855.06 = 204.61 : x
  2. Step 2: Convert to fraction form
    569.77/855.06 = 204.61/x
  3. Step 3: Cross multiply
    569.77x = 855.06 × 204.61
  4. Step 4: Simplify right side
    569.77x = 174,957.43
  5. Step 5: Solve for x
    x = 174,957.43/569.77
  6. Step 6: Final answer
    x = 307.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.