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Finding the Fourth Proportional to 417, 575.36 and 242.28

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Solution

The fourth proportional to 417, 575.36 and 242.28 is: 334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 575.36 = 242.28 : x
  2. Step 2: Convert to fraction form
    417/575.36 = 242.28/x
  3. Step 3: Cross multiply
    417x = 575.36 × 242.28
  4. Step 4: Simplify right side
    417x = 139,398.22
  5. Step 5: Solve for x
    x = 139,398.22/417
  6. Step 6: Final answer
    x = 334.29

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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.