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Finding the Fourth Proportional to 713.22, 984.35 and 464.91

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Solution

The fourth proportional to 713.22, 984.35 and 464.91 is: 641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.22 : 984.35 = 464.91 : x
  2. Step 2: Convert to fraction form
    713.22/984.35 = 464.91/x
  3. Step 3: Cross multiply
    713.22x = 984.35 × 464.91
  4. Step 4: Simplify right side
    713.22x = 457,631.63
  5. Step 5: Solve for x
    x = 457,631.63/713.22
  6. Step 6: Final answer
    x = 641.64

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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.