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Finding the Fourth Proportional to 417.39, 575.97 and 242.76

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Solution

The fourth proportional to 417.39, 575.97 and 242.76 is: 334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.39 : 575.97 = 242.76 : x
  2. Step 2: Convert to fraction form
    417.39/575.97 = 242.76/x
  3. Step 3: Cross multiply
    417.39x = 575.97 × 242.76
  4. Step 4: Simplify right side
    417.39x = 139,822.48
  5. Step 5: Solve for x
    x = 139,822.48/417.39
  6. Step 6: Final answer
    x = 334.99

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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.