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Finding the Fourth Proportional to 416.63, 574.95 and 242.01

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Solution

The fourth proportional to 416.63, 574.95 and 242.01 is: 333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.63 : 574.95 = 242.01 : x
  2. Step 2: Convert to fraction form
    416.63/574.95 = 242.01/x
  3. Step 3: Cross multiply
    416.63x = 574.95 × 242.01
  4. Step 4: Simplify right side
    416.63x = 139,143.65
  5. Step 5: Solve for x
    x = 139,143.65/416.63
  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.