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Finding the Fourth Proportional to 477.94, 659.46 and 278.68

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Solution

The fourth proportional to 477.94, 659.46 and 278.68 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.94 : 659.46 = 278.68 : x
  2. Step 2: Convert to fraction form
    477.94/659.46 = 278.68/x
  3. Step 3: Cross multiply
    477.94x = 659.46 × 278.68
  4. Step 4: Simplify right side
    477.94x = 183,778.31
  5. Step 5: Solve for x
    x = 183,778.31/477.94
  6. Step 6: Final answer
    x = 384.52

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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.