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Finding the Fourth Proportional to 563.32, 843.58 and 389.51

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Solution

The fourth proportional to 563.32, 843.58 and 389.51 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 843.58 = 389.51 : x
  2. Step 2: Convert to fraction form
    563.32/843.58 = 389.51/x
  3. Step 3: Cross multiply
    563.32x = 843.58 × 389.51
  4. Step 4: Simplify right side
    563.32x = 328,582.28
  5. Step 5: Solve for x
    x = 328,582.28/563.32
  6. Step 6: Final answer
    x = 583.29

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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.