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Finding the Fourth Proportional to 582.03, 803.10 and 333.30

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Solution

The fourth proportional to 582.03, 803.10 and 333.30 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.03 : 803.10 = 333.30 : x
  2. Step 2: Convert to fraction form
    582.03/803.10 = 333.30/x
  3. Step 3: Cross multiply
    582.03x = 803.10 × 333.30
  4. Step 4: Simplify right side
    582.03x = 267,673.23
  5. Step 5: Solve for x
    x = 267,673.23/582.03
  6. Step 6: Final answer
    x = 459.90

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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.