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Finding the Fourth Proportional to 582.78, 804.34 and 334.08

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Solution

The fourth proportional to 582.78, 804.34 and 334.08 is: 461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.78 : 804.34 = 334.08 : x
  2. Step 2: Convert to fraction form
    582.78/804.34 = 334.08/x
  3. Step 3: Cross multiply
    582.78x = 804.34 × 334.08
  4. Step 4: Simplify right side
    582.78x = 268,713.91
  5. Step 5: Solve for x
    x = 268,713.91/582.78
  6. Step 6: Final answer
    x = 461.09

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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.