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Finding the Fourth Proportional to 556.14, 767.33 and 346.42

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Solution

The fourth proportional to 556.14, 767.33 and 346.42 is: 477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.14 : 767.33 = 346.42 : x
  2. Step 2: Convert to fraction form
    556.14/767.33 = 346.42/x
  3. Step 3: Cross multiply
    556.14x = 767.33 × 346.42
  4. Step 4: Simplify right side
    556.14x = 265,818.46
  5. Step 5: Solve for x
    x = 265,818.46/556.14
  6. Step 6: Final answer
    x = 477.97

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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.