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Finding the Fourth Proportional to 582.39, 873.54 and 274.05

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Solution

The fourth proportional to 582.39, 873.54 and 274.05 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.39 : 873.54 = 274.05 : x
  2. Step 2: Convert to fraction form
    582.39/873.54 = 274.05/x
  3. Step 3: Cross multiply
    582.39x = 873.54 × 274.05
  4. Step 4: Simplify right side
    582.39x = 239,393.64
  5. Step 5: Solve for x
    x = 239,393.64/582.39
  6. Step 6: Final answer
    x = 411.05

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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.