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Finding the Fourth Proportional to 584.74, 877.06 and 199.98

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Solution

The fourth proportional to 584.74, 877.06 and 199.98 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.74 : 877.06 = 199.98 : x
  2. Step 2: Convert to fraction form
    584.74/877.06 = 199.98/x
  3. Step 3: Cross multiply
    584.74x = 877.06 × 199.98
  4. Step 4: Simplify right side
    584.74x = 175,394.46
  5. Step 5: Solve for x
    x = 175,394.46/584.74
  6. Step 6: Final answer
    x = 299.95

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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.