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Finding the Fourth Proportional to 467.64, 645.06 and 292.84

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Solution

The fourth proportional to 467.64, 645.06 and 292.84 is: 403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 645.06 = 292.84 : x
  2. Step 2: Convert to fraction form
    467.64/645.06 = 292.84/x
  3. Step 3: Cross multiply
    467.64x = 645.06 × 292.84
  4. Step 4: Simplify right side
    467.64x = 188,899.37
  5. Step 5: Solve for x
    x = 188,899.37/467.64
  6. Step 6: Final answer
    x = 403.94

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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.