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Finding the Fourth Proportional to 556.29, 767.34 and 359.55

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Solution

The fourth proportional to 556.29, 767.34 and 359.55 is: 495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 767.34 = 359.55 : x
  2. Step 2: Convert to fraction form
    556.29/767.34 = 359.55/x
  3. Step 3: Cross multiply
    556.29x = 767.34 × 359.55
  4. Step 4: Simplify right side
    556.29x = 275,897.10
  5. Step 5: Solve for x
    x = 275,897.10/556.29
  6. Step 6: Final answer
    x = 495.96

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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.