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Finding the Fourth Proportional to 585, 877.86 and 200.34

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Solution

The fourth proportional to 585, 877.86 and 200.34 is: 300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585 : 877.86 = 200.34 : x
  2. Step 2: Convert to fraction form
    585/877.86 = 200.34/x
  3. Step 3: Cross multiply
    585x = 877.86 × 200.34
  4. Step 4: Simplify right side
    585x = 175,870.47
  5. Step 5: Solve for x
    x = 175,870.47/585
  6. Step 6: Final answer
    x = 300.63

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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.