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Finding the Fourth Proportional to 585.65, 877.92 and 200.63

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Solution

The fourth proportional to 585.65, 877.92 and 200.63 is: 300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 877.92 = 200.63 : x
  2. Step 2: Convert to fraction form
    585.65/877.92 = 200.63/x
  3. Step 3: Cross multiply
    585.65x = 877.92 × 200.63
  4. Step 4: Simplify right side
    585.65x = 176,132.70
  5. Step 5: Solve for x
    x = 176,132.70/585.65
  6. Step 6: Final answer
    x = 300.75

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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.