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Finding the Fourth Proportional to 477.68, 715.78 and 323.06

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Solution

The fourth proportional to 477.68, 715.78 and 323.06 is: 484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.68 : 715.78 = 323.06 : x
  2. Step 2: Convert to fraction form
    477.68/715.78 = 323.06/x
  3. Step 3: Cross multiply
    477.68x = 715.78 × 323.06
  4. Step 4: Simplify right side
    477.68x = 231,239.89
  5. Step 5: Solve for x
    x = 231,239.89/477.68
  6. Step 6: Final answer
    x = 484.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.