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Finding the Fourth Proportional to 464.16, 639.94 and 298.08

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Solution

The fourth proportional to 464.16, 639.94 and 298.08 is: 410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 639.94 = 298.08 : x
  2. Step 2: Convert to fraction form
    464.16/639.94 = 298.08/x
  3. Step 3: Cross multiply
    464.16x = 639.94 × 298.08
  4. Step 4: Simplify right side
    464.16x = 190,753.32
  5. Step 5: Solve for x
    x = 190,753.32/464.16
  6. Step 6: Final answer
    x = 410.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.