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Finding the Fourth Proportional to 464.64, 697.71 and 294.72

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Solution

The fourth proportional to 464.64, 697.71 and 294.72 is: 442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.64 : 697.71 = 294.72 : x
  2. Step 2: Convert to fraction form
    464.64/697.71 = 294.72/x
  3. Step 3: Cross multiply
    464.64x = 697.71 × 294.72
  4. Step 4: Simplify right side
    464.64x = 205,629.09
  5. Step 5: Solve for x
    x = 205,629.09/464.64
  6. Step 6: Final answer
    x = 442.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.