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Finding the Fourth Proportional to 438.60, 605.24 and 242.14

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Solution

The fourth proportional to 438.60, 605.24 and 242.14 is: 334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.60 : 605.24 = 242.14 : x
  2. Step 2: Convert to fraction form
    438.60/605.24 = 242.14/x
  3. Step 3: Cross multiply
    438.60x = 605.24 × 242.14
  4. Step 4: Simplify right side
    438.60x = 146,552.81
  5. Step 5: Solve for x
    x = 146,552.81/438.60
  6. Step 6: Final answer
    x = 334.14

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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.