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Finding the Fourth Proportional to 582.19, 872.57 and 273.63

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Solution

The fourth proportional to 582.19, 872.57 and 273.63 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 872.57 = 273.63 : x
  2. Step 2: Convert to fraction form
    582.19/872.57 = 273.63/x
  3. Step 3: Cross multiply
    582.19x = 872.57 × 273.63
  4. Step 4: Simplify right side
    582.19x = 238,762.01
  5. Step 5: Solve for x
    x = 238,762.01/582.19
  6. Step 6: Final answer
    x = 410.11

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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.