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Finding the Fourth Proportional to 617.64, 925.60 and 343.32

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Solution

The fourth proportional to 617.64, 925.60 and 343.32 is: 514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.64 : 925.60 = 343.32 : x
  2. Step 2: Convert to fraction form
    617.64/925.60 = 343.32/x
  3. Step 3: Cross multiply
    617.64x = 925.60 × 343.32
  4. Step 4: Simplify right side
    617.64x = 317,776.99
  5. Step 5: Solve for x
    x = 317,776.99/617.64
  6. Step 6: Final answer
    x = 514.50

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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.