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Finding the Fourth Proportional to 464.29, 640.83 and 417.58

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Solution

The fourth proportional to 464.29, 640.83 and 417.58 is: 576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.29 : 640.83 = 417.58 : x
  2. Step 2: Convert to fraction form
    464.29/640.83 = 417.58/x
  3. Step 3: Cross multiply
    464.29x = 640.83 × 417.58
  4. Step 4: Simplify right side
    464.29x = 267,597.79
  5. Step 5: Solve for x
    x = 267,597.79/464.29
  6. Step 6: Final answer
    x = 576.36

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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.