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Finding the Fourth Proportional to 417.29, 575.90 and 242.63

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Solution

The fourth proportional to 417.29, 575.90 and 242.63 is: 334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.29 : 575.90 = 242.63 : x
  2. Step 2: Convert to fraction form
    417.29/575.90 = 242.63/x
  3. Step 3: Cross multiply
    417.29x = 575.90 × 242.63
  4. Step 4: Simplify right side
    417.29x = 139,730.62
  5. Step 5: Solve for x
    x = 139,730.62/417.29
  6. Step 6: Final answer
    x = 334.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.