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Finding the Fourth Proportional to 697.60, 962.60 and 464.32

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Solution

The fourth proportional to 697.60, 962.60 and 464.32 is: 640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.60 : 962.60 = 464.32 : x
  2. Step 2: Convert to fraction form
    697.60/962.60 = 464.32/x
  3. Step 3: Cross multiply
    697.60x = 962.60 × 464.32
  4. Step 4: Simplify right side
    697.60x = 446,954.43
  5. Step 5: Solve for x
    x = 446,954.43/697.60
  6. Step 6: Final answer
    x = 640.70

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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.