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Finding the Fourth Proportional to 390.89, 585.20 and 253.53

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Solution

The fourth proportional to 390.89, 585.20 and 253.53 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.89 : 585.20 = 253.53 : x
  2. Step 2: Convert to fraction form
    390.89/585.20 = 253.53/x
  3. Step 3: Cross multiply
    390.89x = 585.20 × 253.53
  4. Step 4: Simplify right side
    390.89x = 148,366.39
  5. Step 5: Solve for x
    x = 148,366.39/390.89
  6. Step 6: Final answer
    x = 379.56

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