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Finding the Fourth Proportional to 464.46, 640.54 and 364.84

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Solution

The fourth proportional to 464.46, 640.54 and 364.84 is: 503.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.46 : 640.54 = 364.84 : x
  2. Step 2: Convert to fraction form
    464.46/640.54 = 364.84/x
  3. Step 3: Cross multiply
    464.46x = 640.54 × 364.84
  4. Step 4: Simplify right side
    464.46x = 233,694.61
  5. Step 5: Solve for x
    x = 233,694.61/464.46
  6. Step 6: Final answer
    x = 503.15

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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.