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Finding the Fourth Proportional to 585.28, 877.92 and 200.56

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Solution

The fourth proportional to 585.28, 877.92 and 200.56 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.28 : 877.92 = 200.56 : x
  2. Step 2: Convert to fraction form
    585.28/877.92 = 200.56/x
  3. Step 3: Cross multiply
    585.28x = 877.92 × 200.56
  4. Step 4: Simplify right side
    585.28x = 176,075.64
  5. Step 5: Solve for x
    x = 176,075.64/585.28
  6. Step 6: Final answer
    x = 300.84

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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.