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Finding the Fourth Proportional to 477.65, 716.54 and 203.78

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Solution

The fourth proportional to 477.65, 716.54 and 203.78 is: 305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.65 : 716.54 = 203.78 : x
  2. Step 2: Convert to fraction form
    477.65/716.54 = 203.78/x
  3. Step 3: Cross multiply
    477.65x = 716.54 × 203.78
  4. Step 4: Simplify right side
    477.65x = 146,011.92
  5. Step 5: Solve for x
    x = 146,011.92/477.65
  6. Step 6: Final answer
    x = 305.69

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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.