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Finding the Fourth Proportional to 416.63, 574.94 and 242.00

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Solution

The fourth proportional to 416.63, 574.94 and 242.00 is: 333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.63 : 574.94 = 242.00 : x
  2. Step 2: Convert to fraction form
    416.63/574.94 = 242.00/x
  3. Step 3: Cross multiply
    416.63x = 574.94 × 242.00
  4. Step 4: Simplify right side
    416.63x = 139,133.21
  5. Step 5: Solve for x
    x = 139,133.21/416.63
  6. Step 6: Final answer
    x = 333.95

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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.