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Finding the Fourth Proportional to 477.69, 659.15 and 270.69

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Solution

The fourth proportional to 477.69, 659.15 and 270.69 is: 373.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 659.15 = 270.69 : x
  2. Step 2: Convert to fraction form
    477.69/659.15 = 270.69/x
  3. Step 3: Cross multiply
    477.69x = 659.15 × 270.69
  4. Step 4: Simplify right side
    477.69x = 178,425.31
  5. Step 5: Solve for x
    x = 178,425.31/477.69
  6. Step 6: Final answer
    x = 373.52

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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.