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Finding the Fourth Proportional to 582.25, 873.40 and 192.27

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Solution

The fourth proportional to 582.25, 873.40 and 192.27 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 873.40 = 192.27 : x
  2. Step 2: Convert to fraction form
    582.25/873.40 = 192.27/x
  3. Step 3: Cross multiply
    582.25x = 873.40 × 192.27
  4. Step 4: Simplify right side
    582.25x = 167,929.59
  5. Step 5: Solve for x
    x = 167,929.59/582.25
  6. Step 6: Final answer
    x = 288.42

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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.