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Finding the Fourth Proportional to 477.93, 659.54 and 268.11

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Solution

The fourth proportional to 477.93, 659.54 and 268.11 is: 369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.93 : 659.54 = 268.11 : x
  2. Step 2: Convert to fraction form
    477.93/659.54 = 268.11/x
  3. Step 3: Cross multiply
    477.93x = 659.54 × 268.11
  4. Step 4: Simplify right side
    477.93x = 176,829.94
  5. Step 5: Solve for x
    x = 176,829.94/477.93
  6. Step 6: Final answer
    x = 369.99

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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.