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Finding the Fourth Proportional to 584.90, 877.53 and 174.05

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Solution

The fourth proportional to 584.90, 877.53 and 174.05 is: 261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.90 : 877.53 = 174.05 : x
  2. Step 2: Convert to fraction form
    584.90/877.53 = 174.05/x
  3. Step 3: Cross multiply
    584.90x = 877.53 × 174.05
  4. Step 4: Simplify right side
    584.90x = 152,734.10
  5. Step 5: Solve for x
    x = 152,734.10/584.90
  6. Step 6: Final answer
    x = 261.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.