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Finding the Fourth Proportional to 477.70, 657.83 and 330.08

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Solution

The fourth proportional to 477.70, 657.83 and 330.08 is: 454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 657.83 = 330.08 : x
  2. Step 2: Convert to fraction form
    477.70/657.83 = 330.08/x
  3. Step 3: Cross multiply
    477.70x = 657.83 × 330.08
  4. Step 4: Simplify right side
    477.70x = 217,134.06
  5. Step 5: Solve for x
    x = 217,134.06/477.70
  6. Step 6: Final answer
    x = 454.54

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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.