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Finding the Fourth Proportional to 582.22, 803.55 and 333.49

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Solution

The fourth proportional to 582.22, 803.55 and 333.49 is: 460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.22 : 803.55 = 333.49 : x
  2. Step 2: Convert to fraction form
    582.22/803.55 = 333.49/x
  3. Step 3: Cross multiply
    582.22x = 803.55 × 333.49
  4. Step 4: Simplify right side
    582.22x = 267,975.89
  5. Step 5: Solve for x
    x = 267,975.89/582.22
  6. Step 6: Final answer
    x = 460.27

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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.