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Finding the Fourth Proportional to 556.13, 767.61 and 359.78

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Solution

The fourth proportional to 556.13, 767.61 and 359.78 is: 496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.13 : 767.61 = 359.78 : x
  2. Step 2: Convert to fraction form
    556.13/767.61 = 359.78/x
  3. Step 3: Cross multiply
    556.13x = 767.61 × 359.78
  4. Step 4: Simplify right side
    556.13x = 276,166.89
  5. Step 5: Solve for x
    x = 276,166.89/556.13
  6. Step 6: Final answer
    x = 496.58

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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.