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Finding the Fourth Proportional to 698.68, 964.56 and 450.16

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Solution

The fourth proportional to 698.68, 964.56 and 450.16 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.68 : 964.56 = 450.16 : x
  2. Step 2: Convert to fraction form
    698.68/964.56 = 450.16/x
  3. Step 3: Cross multiply
    698.68x = 964.56 × 450.16
  4. Step 4: Simplify right side
    698.68x = 434,206.33
  5. Step 5: Solve for x
    x = 434,206.33/698.68
  6. Step 6: Final answer
    x = 621.47

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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.