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Finding the Fourth Proportional to 438.51, 605.14 and 242.02

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Solution

The fourth proportional to 438.51, 605.14 and 242.02 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.51 : 605.14 = 242.02 : x
  2. Step 2: Convert to fraction form
    438.51/605.14 = 242.02/x
  3. Step 3: Cross multiply
    438.51x = 605.14 × 242.02
  4. Step 4: Simplify right side
    438.51x = 146,452.96
  5. Step 5: Solve for x
    x = 146,452.96/438.51
  6. Step 6: Final answer
    x = 333.98

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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.