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Finding the Fourth Proportional to 467.76, 701.62 and 291.98

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Solution

The fourth proportional to 467.76, 701.62 and 291.98 is: 437.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.76 : 701.62 = 291.98 : x
  2. Step 2: Convert to fraction form
    467.76/701.62 = 291.98/x
  3. Step 3: Cross multiply
    467.76x = 701.62 × 291.98
  4. Step 4: Simplify right side
    467.76x = 204,859.01
  5. Step 5: Solve for x
    x = 204,859.01/467.76
  6. Step 6: Final answer
    x = 437.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.