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Finding the Fourth Proportional to 374.64, 517.16 and 264.20

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Solution

The fourth proportional to 374.64, 517.16 and 264.20 is: 364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.64 : 517.16 = 264.20 : x
  2. Step 2: Convert to fraction form
    374.64/517.16 = 264.20/x
  3. Step 3: Cross multiply
    374.64x = 517.16 × 264.20
  4. Step 4: Simplify right side
    374.64x = 136,633.67
  5. Step 5: Solve for x
    x = 136,633.67/374.64
  6. Step 6: Final answer
    x = 364.71

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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.