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Finding the Fourth Proportional to 417.21, 575.56 and 242.45

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Solution

The fourth proportional to 417.21, 575.56 and 242.45 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 575.56 = 242.45 : x
  2. Step 2: Convert to fraction form
    417.21/575.56 = 242.45/x
  3. Step 3: Cross multiply
    417.21x = 575.56 × 242.45
  4. Step 4: Simplify right side
    417.21x = 139,544.52
  5. Step 5: Solve for x
    x = 139,544.52/417.21
  6. Step 6: Final answer
    x = 334.47

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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.