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Finding the Fourth Proportional to 594.70, 821.20 and 374.02

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Solution

The fourth proportional to 594.70, 821.20 and 374.02 is: 516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 821.20 = 374.02 : x
  2. Step 2: Convert to fraction form
    594.70/821.20 = 374.02/x
  3. Step 3: Cross multiply
    594.70x = 821.20 × 374.02
  4. Step 4: Simplify right side
    594.70x = 307,143.35
  5. Step 5: Solve for x
    x = 307,143.35/594.70
  6. Step 6: Final answer
    x = 516.47

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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.