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Finding the Fourth Proportional to 582.88, 804.41 and 334.22

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Solution

The fourth proportional to 582.88, 804.41 and 334.22 is: 461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 804.41 = 334.22 : x
  2. Step 2: Convert to fraction form
    582.88/804.41 = 334.22/x
  3. Step 3: Cross multiply
    582.88x = 804.41 × 334.22
  4. Step 4: Simplify right side
    582.88x = 268,848.24
  5. Step 5: Solve for x
    x = 268,848.24/582.88
  6. Step 6: Final answer
    x = 461.25

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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.