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Finding the Fourth Proportional to 584.99, 877.64 and 174.12

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Solution

The fourth proportional to 584.99, 877.64 and 174.12 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.99 : 877.64 = 174.12 : x
  2. Step 2: Convert to fraction form
    584.99/877.64 = 174.12/x
  3. Step 3: Cross multiply
    584.99x = 877.64 × 174.12
  4. Step 4: Simplify right side
    584.99x = 152,814.68
  5. Step 5: Solve for x
    x = 152,814.68/584.99
  6. Step 6: Final answer
    x = 261.23

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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.