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Finding the Fourth Proportional to 582.78, 804.24 and 334.09

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Solution

The fourth proportional to 582.78, 804.24 and 334.09 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 804.24 = 334.09 : x
  2. Step 2: Convert to fraction form
    582.78/804.24 = 334.09/x
  3. Step 3: Cross multiply
    582.78x = 804.24 × 334.09
  4. Step 4: Simplify right side
    582.78x = 268,688.54
  5. Step 5: Solve for x
    x = 268,688.54/582.78
  6. Step 6: Final answer
    x = 461.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.