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Finding the Fourth Proportional to 584.98, 877.48 and 174.14

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Solution

The fourth proportional to 584.98, 877.48 and 174.14 is: 261.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.98 : 877.48 = 174.14 : x
  2. Step 2: Convert to fraction form
    584.98/877.48 = 174.14/x
  3. Step 3: Cross multiply
    584.98x = 877.48 × 174.14
  4. Step 4: Simplify right side
    584.98x = 152,804.37
  5. Step 5: Solve for x
    x = 152,804.37/584.98
  6. Step 6: Final answer
    x = 261.21

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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.