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Finding the Fourth Proportional to 556.42, 767.69 and 335.36

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Solution

The fourth proportional to 556.42, 767.69 and 335.36 is: 462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.42 : 767.69 = 335.36 : x
  2. Step 2: Convert to fraction form
    556.42/767.69 = 335.36/x
  3. Step 3: Cross multiply
    556.42x = 767.69 × 335.36
  4. Step 4: Simplify right side
    556.42x = 257,451.59
  5. Step 5: Solve for x
    x = 257,451.59/556.42
  6. Step 6: Final answer
    x = 462.69

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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.