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Finding the Fourth Proportional to 562.84, 844.24 and 433.64

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Solution

The fourth proportional to 562.84, 844.24 and 433.64 is: 650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.84 : 844.24 = 433.64 : x
  2. Step 2: Convert to fraction form
    562.84/844.24 = 433.64/x
  3. Step 3: Cross multiply
    562.84x = 844.24 × 433.64
  4. Step 4: Simplify right side
    562.84x = 366,096.23
  5. Step 5: Solve for x
    x = 366,096.23/562.84
  6. Step 6: Final answer
    x = 650.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.