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Finding the Fourth Proportional to 698.89, 964.19 and 450.35

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Solution

The fourth proportional to 698.89, 964.19 and 450.35 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.19 = 450.35 : x
  2. Step 2: Convert to fraction form
    698.89/964.19 = 450.35/x
  3. Step 3: Cross multiply
    698.89x = 964.19 × 450.35
  4. Step 4: Simplify right side
    698.89x = 434,223.07
  5. Step 5: Solve for x
    x = 434,223.07/698.89
  6. Step 6: Final answer
    x = 621.31

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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.