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Finding the Fourth Proportional to 380.53, 570.63 and 146.23

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Solution

The fourth proportional to 380.53, 570.63 and 146.23 is: 219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.53 : 570.63 = 146.23 : x
  2. Step 2: Convert to fraction form
    380.53/570.63 = 146.23/x
  3. Step 3: Cross multiply
    380.53x = 570.63 × 146.23
  4. Step 4: Simplify right side
    380.53x = 83,443.22
  5. Step 5: Solve for x
    x = 83,443.22/380.53
  6. Step 6: Final answer
    x = 219.28

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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.