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Finding the Fourth Proportional to 556.30, 767.68 and 335.14

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Solution

The fourth proportional to 556.30, 767.68 and 335.14 is: 462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.30 : 767.68 = 335.14 : x
  2. Step 2: Convert to fraction form
    556.30/767.68 = 335.14/x
  3. Step 3: Cross multiply
    556.30x = 767.68 × 335.14
  4. Step 4: Simplify right side
    556.30x = 257,277.52
  5. Step 5: Solve for x
    x = 257,277.52/556.30
  6. Step 6: Final answer
    x = 462.48

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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.