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Finding the Fourth Proportional to 380.89, 570.93 and 278.61

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Solution

The fourth proportional to 380.89, 570.93 and 278.61 is: 417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.89 : 570.93 = 278.61 : x
  2. Step 2: Convert to fraction form
    380.89/570.93 = 278.61/x
  3. Step 3: Cross multiply
    380.89x = 570.93 × 278.61
  4. Step 4: Simplify right side
    380.89x = 159,066.81
  5. Step 5: Solve for x
    x = 159,066.81/380.89
  6. Step 6: Final answer
    x = 417.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.