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Finding the Fourth Proportional to 582.21, 803.43 and 333.50

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Solution

The fourth proportional to 582.21, 803.43 and 333.50 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.21 : 803.43 = 333.50 : x
  2. Step 2: Convert to fraction form
    582.21/803.43 = 333.50/x
  3. Step 3: Cross multiply
    582.21x = 803.43 × 333.50
  4. Step 4: Simplify right side
    582.21x = 267,939.89
  5. Step 5: Solve for x
    x = 267,939.89/582.21
  6. Step 6: Final answer
    x = 460.21

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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.