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Finding the Fourth Proportional to 556, 767.34 and 401.08

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Solution

The fourth proportional to 556, 767.34 and 401.08 is: 553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    556 : 767.34 = 401.08 : x
  2. Step 2: Convert to fraction form
    556/767.34 = 401.08/x
  3. Step 3: Cross multiply
    556x = 767.34 × 401.08
  4. Step 4: Simplify right side
    556x = 307,764.73
  5. Step 5: Solve for x
    x = 307,764.73/556
  6. Step 6: Final answer
    x = 553.53

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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.