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Finding the Fourth Proportional to 698.32, 964.16 and 450.24

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Solution

The fourth proportional to 698.32, 964.16 and 450.24 is: 621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.32 : 964.16 = 450.24 : x
  2. Step 2: Convert to fraction form
    698.32/964.16 = 450.24/x
  3. Step 3: Cross multiply
    698.32x = 964.16 × 450.24
  4. Step 4: Simplify right side
    698.32x = 434,103.40
  5. Step 5: Solve for x
    x = 434,103.40/698.32
  6. Step 6: Final answer
    x = 621.64

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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.