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Finding the Fourth Proportional to 556.37, 767.77 and 335.24

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Solution

The fourth proportional to 556.37, 767.77 and 335.24 is: 462.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.37 : 767.77 = 335.24 : x
  2. Step 2: Convert to fraction form
    556.37/767.77 = 335.24/x
  3. Step 3: Cross multiply
    556.37x = 767.77 × 335.24
  4. Step 4: Simplify right side
    556.37x = 257,387.21
  5. Step 5: Solve for x
    x = 257,387.21/556.37
  6. Step 6: Final answer
    x = 462.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.