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Finding the Fourth Proportional to 464.16, 640.24 and 298.58

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Solution

The fourth proportional to 464.16, 640.24 and 298.58 is: 411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.16 : 640.24 = 298.58 : x
  2. Step 2: Convert to fraction form
    464.16/640.24 = 298.58/x
  3. Step 3: Cross multiply
    464.16x = 640.24 × 298.58
  4. Step 4: Simplify right side
    464.16x = 191,158.17
  5. Step 5: Solve for x
    x = 191,158.17/464.16
  6. Step 6: Final answer
    x = 411.84

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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.