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Finding the Fourth Proportional to 438.55, 605.21 and 242.07

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Solution

The fourth proportional to 438.55, 605.21 and 242.07 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.55 : 605.21 = 242.07 : x
  2. Step 2: Convert to fraction form
    438.55/605.21 = 242.07/x
  3. Step 3: Cross multiply
    438.55x = 605.21 × 242.07
  4. Step 4: Simplify right side
    438.55x = 146,501.97
  5. Step 5: Solve for x
    x = 146,501.97/438.55
  6. Step 6: Final answer
    x = 334.06

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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.