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Finding the Fourth Proportional to 410.28, 612.69 and 386.28

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Solution

The fourth proportional to 410.28, 612.69 and 386.28 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.28 : 612.69 = 386.28 : x
  2. Step 2: Convert to fraction form
    410.28/612.69 = 386.28/x
  3. Step 3: Cross multiply
    410.28x = 612.69 × 386.28
  4. Step 4: Simplify right side
    410.28x = 236,669.89
  5. Step 5: Solve for x
    x = 236,669.89/410.28
  6. Step 6: Final answer
    x = 576.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.