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Finding the Fourth Proportional to 380.07, 570.01 and 185.06

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Solution

The fourth proportional to 380.07, 570.01 and 185.06 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.07 : 570.01 = 185.06 : x
  2. Step 2: Convert to fraction form
    380.07/570.01 = 185.06/x
  3. Step 3: Cross multiply
    380.07x = 570.01 × 185.06
  4. Step 4: Simplify right side
    380.07x = 105,486.05
  5. Step 5: Solve for x
    x = 105,486.05/380.07
  6. Step 6: Final answer
    x = 277.54

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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.