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Finding the Fourth Proportional to 477.86, 659.47 and 268.02

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Solution

The fourth proportional to 477.86, 659.47 and 268.02 is: 369.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.86 : 659.47 = 268.02 : x
  2. Step 2: Convert to fraction form
    477.86/659.47 = 268.02/x
  3. Step 3: Cross multiply
    477.86x = 659.47 × 268.02
  4. Step 4: Simplify right side
    477.86x = 176,751.15
  5. Step 5: Solve for x
    x = 176,751.15/477.86
  6. Step 6: Final answer
    x = 369.88

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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.