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Finding the Fourth Proportional to 505.73, 758.23 and 242.06

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Solution

The fourth proportional to 505.73, 758.23 and 242.06 is: 362.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.73 : 758.23 = 242.06 : x
  2. Step 2: Convert to fraction form
    505.73/758.23 = 242.06/x
  3. Step 3: Cross multiply
    505.73x = 758.23 × 242.06
  4. Step 4: Simplify right side
    505.73x = 183,532.76
  5. Step 5: Solve for x
    x = 183,532.76/505.73
  6. Step 6: Final answer
    x = 362.90

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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.