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Finding the Fourth Proportional to 582.45, 803.79 and 333.81

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Solution

The fourth proportional to 582.45, 803.79 and 333.81 is: 460.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.45 : 803.79 = 333.81 : x
  2. Step 2: Convert to fraction form
    582.45/803.79 = 333.81/x
  3. Step 3: Cross multiply
    582.45x = 803.79 × 333.81
  4. Step 4: Simplify right side
    582.45x = 268,313.14
  5. Step 5: Solve for x
    x = 268,313.14/582.45
  6. Step 6: Final answer
    x = 460.66

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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.