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Finding the Fourth Proportional to 582.25, 803.30 and 333.39

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Solution

The fourth proportional to 582.25, 803.30 and 333.39 is: 459.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.25 : 803.30 = 333.39 : x
  2. Step 2: Convert to fraction form
    582.25/803.30 = 333.39/x
  3. Step 3: Cross multiply
    582.25x = 803.30 × 333.39
  4. Step 4: Simplify right side
    582.25x = 267,812.19
  5. Step 5: Solve for x
    x = 267,812.19/582.25
  6. Step 6: Final answer
    x = 459.96

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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.