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Finding the Fourth Proportional to 582.86, 804.33 and 334.19

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Solution

The fourth proportional to 582.86, 804.33 and 334.19 is: 461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 804.33 = 334.19 : x
  2. Step 2: Convert to fraction form
    582.86/804.33 = 334.19/x
  3. Step 3: Cross multiply
    582.86x = 804.33 × 334.19
  4. Step 4: Simplify right side
    582.86x = 268,801.05
  5. Step 5: Solve for x
    x = 268,801.05/582.86
  6. Step 6: Final answer
    x = 461.17

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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.