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Finding the Fourth Proportional to 380.38, 570.10 and 174.90

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Solution

The fourth proportional to 380.38, 570.10 and 174.90 is: 262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 570.10 = 174.90 : x
  2. Step 2: Convert to fraction form
    380.38/570.10 = 174.90/x
  3. Step 3: Cross multiply
    380.38x = 570.10 × 174.90
  4. Step 4: Simplify right side
    380.38x = 99,710.49
  5. Step 5: Solve for x
    x = 99,710.49/380.38
  6. Step 6: Final answer
    x = 262.13

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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.