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Finding the Fourth Proportional to 556.08, 767.24 and 335.06

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Solution

The fourth proportional to 556.08, 767.24 and 335.06 is: 462.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.08 : 767.24 = 335.06 : x
  2. Step 2: Convert to fraction form
    556.08/767.24 = 335.06/x
  3. Step 3: Cross multiply
    556.08x = 767.24 × 335.06
  4. Step 4: Simplify right side
    556.08x = 257,071.43
  5. Step 5: Solve for x
    x = 257,071.43/556.08
  6. Step 6: Final answer
    x = 462.29

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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.