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Finding the Fourth Proportional to 438.99, 605.75 and 242.50

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Solution

The fourth proportional to 438.99, 605.75 and 242.50 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.99 : 605.75 = 242.50 : x
  2. Step 2: Convert to fraction form
    438.99/605.75 = 242.50/x
  3. Step 3: Cross multiply
    438.99x = 605.75 × 242.50
  4. Step 4: Simplify right side
    438.99x = 146,892.56
  5. Step 5: Solve for x
    x = 146,892.56/438.99
  6. Step 6: Final answer
    x = 334.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.