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Finding the Fourth Proportional to 425.02, 637.83 and 242.77

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Solution

The fourth proportional to 425.02, 637.83 and 242.77 is: 364.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.02 : 637.83 = 242.77 : x
  2. Step 2: Convert to fraction form
    425.02/637.83 = 242.77/x
  3. Step 3: Cross multiply
    425.02x = 637.83 × 242.77
  4. Step 4: Simplify right side
    425.02x = 154,845.99
  5. Step 5: Solve for x
    x = 154,845.99/425.02
  6. Step 6: Final answer
    x = 364.33

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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.