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Finding the Fourth Proportional to 699.46, 964.91 and 433.69

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Solution

The fourth proportional to 699.46, 964.91 and 433.69 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.46 : 964.91 = 433.69 : x
  2. Step 2: Convert to fraction form
    699.46/964.91 = 433.69/x
  3. Step 3: Cross multiply
    699.46x = 964.91 × 433.69
  4. Step 4: Simplify right side
    699.46x = 418,470.49
  5. Step 5: Solve for x
    x = 418,470.49/699.46
  6. Step 6: Final answer
    x = 598.28

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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.