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Finding the Fourth Proportional to 582.88, 804.34 and 334.24

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Solution

The fourth proportional to 582.88, 804.34 and 334.24 is: 461.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 804.34 = 334.24 : x
  2. Step 2: Convert to fraction form
    582.88/804.34 = 334.24/x
  3. Step 3: Cross multiply
    582.88x = 804.34 × 334.24
  4. Step 4: Simplify right side
    582.88x = 268,842.60
  5. Step 5: Solve for x
    x = 268,842.60/582.88
  6. Step 6: Final answer
    x = 461.23

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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.