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Finding the Fourth Proportional to 556.40, 767.66 and 359.56

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Solution

The fourth proportional to 556.40, 767.66 and 359.56 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.40 : 767.66 = 359.56 : x
  2. Step 2: Convert to fraction form
    556.40/767.66 = 359.56/x
  3. Step 3: Cross multiply
    556.40x = 767.66 × 359.56
  4. Step 4: Simplify right side
    556.40x = 276,019.83
  5. Step 5: Solve for x
    x = 276,019.83/556.40
  6. Step 6: Final answer
    x = 496.08

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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.