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Finding the Fourth Proportional to 466.08, 642.83 and 297.96

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Solution

The fourth proportional to 466.08, 642.83 and 297.96 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.08 : 642.83 = 297.96 : x
  2. Step 2: Convert to fraction form
    466.08/642.83 = 297.96/x
  3. Step 3: Cross multiply
    466.08x = 642.83 × 297.96
  4. Step 4: Simplify right side
    466.08x = 191,536.14
  5. Step 5: Solve for x
    x = 191,536.14/466.08
  6. Step 6: Final answer
    x = 410.95

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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.