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Finding the Fourth Proportional to 698.89, 964.92 and 433.61

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Solution

The fourth proportional to 698.89, 964.92 and 433.61 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.89 : 964.92 = 433.61 : x
  2. Step 2: Convert to fraction form
    698.89/964.92 = 433.61/x
  3. Step 3: Cross multiply
    698.89x = 964.92 × 433.61
  4. Step 4: Simplify right side
    698.89x = 418,396.79
  5. Step 5: Solve for x
    x = 418,396.79/698.89
  6. Step 6: Final answer
    x = 598.66

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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.