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Finding the Fourth Proportional to 380.22, 569.25 and 242.93

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Solution

The fourth proportional to 380.22, 569.25 and 242.93 is: 363.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.22 : 569.25 = 242.93 : x
  2. Step 2: Convert to fraction form
    380.22/569.25 = 242.93/x
  3. Step 3: Cross multiply
    380.22x = 569.25 × 242.93
  4. Step 4: Simplify right side
    380.22x = 138,285.06
  5. Step 5: Solve for x
    x = 138,285.06/380.22
  6. Step 6: Final answer
    x = 363.70

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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.