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Finding the Fourth Proportional to 556.66, 767.77 and 360.24

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Solution

The fourth proportional to 556.66, 767.77 and 360.24 is: 496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.66 : 767.77 = 360.24 : x
  2. Step 2: Convert to fraction form
    556.66/767.77 = 360.24/x
  3. Step 3: Cross multiply
    556.66x = 767.77 × 360.24
  4. Step 4: Simplify right side
    556.66x = 276,581.46
  5. Step 5: Solve for x
    x = 276,581.46/556.66
  6. Step 6: Final answer
    x = 496.86

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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.