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Finding the Fourth Proportional to 390.70, 585.02 and 253.33

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Solution

The fourth proportional to 390.70, 585.02 and 253.33 is: 379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.70 : 585.02 = 253.33 : x
  2. Step 2: Convert to fraction form
    390.70/585.02 = 253.33/x
  3. Step 3: Cross multiply
    390.70x = 585.02 × 253.33
  4. Step 4: Simplify right side
    390.70x = 148,202.29
  5. Step 5: Solve for x
    x = 148,202.29/390.70
  6. Step 6: Final answer
    x = 379.33

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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.