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Finding the Fourth Proportional to 380.53, 570.23 and 207.29

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Solution

The fourth proportional to 380.53, 570.23 and 207.29 is: 310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 570.23 = 207.29 : x
  2. Step 2: Convert to fraction form
    380.53/570.23 = 207.29/x
  3. Step 3: Cross multiply
    380.53x = 570.23 × 207.29
  4. Step 4: Simplify right side
    380.53x = 118,199.09
  5. Step 5: Solve for x
    x = 118,199.09/380.53
  6. Step 6: Final answer
    x = 310.62

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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.