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Finding the Fourth Proportional to 552.46, 761.83 and 386.62

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Solution

The fourth proportional to 552.46, 761.83 and 386.62 is: 533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.46 : 761.83 = 386.62 : x
  2. Step 2: Convert to fraction form
    552.46/761.83 = 386.62/x
  3. Step 3: Cross multiply
    552.46x = 761.83 × 386.62
  4. Step 4: Simplify right side
    552.46x = 294,538.71
  5. Step 5: Solve for x
    x = 294,538.71/552.46
  6. Step 6: Final answer
    x = 533.14

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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.