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Finding the Fourth Proportional to 688.17, 949.44 and 408.32

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Solution

The fourth proportional to 688.17, 949.44 and 408.32 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.17 : 949.44 = 408.32 : x
  2. Step 2: Convert to fraction form
    688.17/949.44 = 408.32/x
  3. Step 3: Cross multiply
    688.17x = 949.44 × 408.32
  4. Step 4: Simplify right side
    688.17x = 387,670.59
  5. Step 5: Solve for x
    x = 387,670.59/688.17
  6. Step 6: Final answer
    x = 563.34

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1.5x scale

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.