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Finding the Fourth Proportional to 417.40, 575.94 and 277.72

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Solution

The fourth proportional to 417.40, 575.94 and 277.72 is: 383.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.40 : 575.94 = 277.72 : x
  2. Step 2: Convert to fraction form
    417.40/575.94 = 277.72/x
  3. Step 3: Cross multiply
    417.40x = 575.94 × 277.72
  4. Step 4: Simplify right side
    417.40x = 159,949.66
  5. Step 5: Solve for x
    x = 159,949.66/417.40
  6. Step 6: Final answer
    x = 383.21

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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.