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Finding the Fourth Proportional to 584.41, 877.10 and 199.93

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Solution

The fourth proportional to 584.41, 877.10 and 199.93 is: 300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.41 : 877.10 = 199.93 : x
  2. Step 2: Convert to fraction form
    584.41/877.10 = 199.93/x
  3. Step 3: Cross multiply
    584.41x = 877.10 × 199.93
  4. Step 4: Simplify right side
    584.41x = 175,357.60
  5. Step 5: Solve for x
    x = 175,357.60/584.41
  6. Step 6: Final answer
    x = 300.06

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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.