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Finding the Fourth Proportional to 425.02, 637.56 and 242.23

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Solution

The fourth proportional to 425.02, 637.56 and 242.23 is: 363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 637.56 = 242.23 : x
  2. Step 2: Convert to fraction form
    425.02/637.56 = 242.23/x
  3. Step 3: Cross multiply
    425.02x = 637.56 × 242.23
  4. Step 4: Simplify right side
    425.02x = 154,431.76
  5. Step 5: Solve for x
    x = 154,431.76/425.02
  6. Step 6: Final answer
    x = 363.36

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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.