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Finding the Fourth Proportional to 556.81, 768.56 and 346.86

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Solution

The fourth proportional to 556.81, 768.56 and 346.86 is: 478.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 768.56 = 346.86 : x
  2. Step 2: Convert to fraction form
    556.81/768.56 = 346.86/x
  3. Step 3: Cross multiply
    556.81x = 768.56 × 346.86
  4. Step 4: Simplify right side
    556.81x = 266,580.99
  5. Step 5: Solve for x
    x = 266,580.99/556.81
  6. Step 6: Final answer
    x = 478.77

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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.