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Finding the Fourth Proportional to 582.85, 804.21 and 330.79

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Solution

The fourth proportional to 582.85, 804.21 and 330.79 is: 456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.85 : 804.21 = 330.79 : x
  2. Step 2: Convert to fraction form
    582.85/804.21 = 330.79/x
  3. Step 3: Cross multiply
    582.85x = 804.21 × 330.79
  4. Step 4: Simplify right side
    582.85x = 266,024.63
  5. Step 5: Solve for x
    x = 266,024.63/582.85
  6. Step 6: Final answer
    x = 456.42

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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.