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Finding the Fourth Proportional to 582.45, 873.72 and 171.56

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Solution

The fourth proportional to 582.45, 873.72 and 171.56 is: 257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.45 : 873.72 = 171.56 : x
  2. Step 2: Convert to fraction form
    582.45/873.72 = 171.56/x
  3. Step 3: Cross multiply
    582.45x = 873.72 × 171.56
  4. Step 4: Simplify right side
    582.45x = 149,895.40
  5. Step 5: Solve for x
    x = 149,895.40/582.45
  6. Step 6: Final answer
    x = 257.35

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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.