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Finding the Fourth Proportional to 477.59, 659.04 and 267.77

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Solution

The fourth proportional to 477.59, 659.04 and 267.77 is: 369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.59 : 659.04 = 267.77 : x
  2. Step 2: Convert to fraction form
    477.59/659.04 = 267.77/x
  3. Step 3: Cross multiply
    477.59x = 659.04 × 267.77
  4. Step 4: Simplify right side
    477.59x = 176,467.85
  5. Step 5: Solve for x
    x = 176,467.85/477.59
  6. Step 6: Final answer
    x = 369.50

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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.