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Finding the Fourth Proportional to 379.88, 570.76 and 242.98

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Solution

The fourth proportional to 379.88, 570.76 and 242.98 is: 365.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.88 : 570.76 = 242.98 : x
  2. Step 2: Convert to fraction form
    379.88/570.76 = 242.98/x
  3. Step 3: Cross multiply
    379.88x = 570.76 × 242.98
  4. Step 4: Simplify right side
    379.88x = 138,683.26
  5. Step 5: Solve for x
    x = 138,683.26/379.88
  6. Step 6: Final answer
    x = 365.07

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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.