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Finding the Fourth Proportional to 582.45, 803.85 and 333.85

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Solution

The fourth proportional to 582.45, 803.85 and 333.85 is: 460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.45 : 803.85 = 333.85 : x
  2. Step 2: Convert to fraction form
    582.45/803.85 = 333.85/x
  3. Step 3: Cross multiply
    582.45x = 803.85 × 333.85
  4. Step 4: Simplify right side
    582.45x = 268,362.06
  5. Step 5: Solve for x
    x = 268,362.06/582.45
  6. Step 6: Final answer
    x = 460.75

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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.