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Finding the Fourth Proportional to 417, 575.46 and 242.46

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Solution

The fourth proportional to 417, 575.46 and 242.46 is: 334.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 575.46 = 242.46 : x
  2. Step 2: Convert to fraction form
    417/575.46 = 242.46/x
  3. Step 3: Cross multiply
    417x = 575.46 × 242.46
  4. Step 4: Simplify right side
    417x = 139,526.03
  5. Step 5: Solve for x
    x = 139,526.03/417
  6. Step 6: Final answer
    x = 334.59

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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.