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Finding the Fourth Proportional to 582.52, 803.94 and 333.88

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Solution

The fourth proportional to 582.52, 803.94 and 333.88 is: 460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 803.94 = 333.88 : x
  2. Step 2: Convert to fraction form
    582.52/803.94 = 333.88/x
  3. Step 3: Cross multiply
    582.52x = 803.94 × 333.88
  4. Step 4: Simplify right side
    582.52x = 268,419.49
  5. Step 5: Solve for x
    x = 268,419.49/582.52
  6. Step 6: Final answer
    x = 460.79

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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.