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Finding the Fourth Proportional to 594.97, 821.21 and 362.29

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Solution

The fourth proportional to 594.97, 821.21 and 362.29 is: 500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.97 : 821.21 = 362.29 : x
  2. Step 2: Convert to fraction form
    594.97/821.21 = 362.29/x
  3. Step 3: Cross multiply
    594.97x = 821.21 × 362.29
  4. Step 4: Simplify right side
    594.97x = 297,516.17
  5. Step 5: Solve for x
    x = 297,516.17/594.97
  6. Step 6: Final answer
    x = 500.05

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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.