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Finding the Fourth Proportional to 464.13, 640.53 and 298.35

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Solution

The fourth proportional to 464.13, 640.53 and 298.35 is: 411.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.13 : 640.53 = 298.35 : x
  2. Step 2: Convert to fraction form
    464.13/640.53 = 298.35/x
  3. Step 3: Cross multiply
    464.13x = 640.53 × 298.35
  4. Step 4: Simplify right side
    464.13x = 191,102.13
  5. Step 5: Solve for x
    x = 191,102.13/464.13
  6. Step 6: Final answer
    x = 411.74

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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.