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Finding the Fourth Proportional to 582.52, 803.82 and 333.75

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Solution

The fourth proportional to 582.52, 803.82 and 333.75 is: 460.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.52 : 803.82 = 333.75 : x
  2. Step 2: Convert to fraction form
    582.52/803.82 = 333.75/x
  3. Step 3: Cross multiply
    582.52x = 803.82 × 333.75
  4. Step 4: Simplify right side
    582.52x = 268,274.93
  5. Step 5: Solve for x
    x = 268,274.93/582.52
  6. Step 6: Final answer
    x = 460.54

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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.