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Finding the Fourth Proportional to 594.18, 820.98 and 462.06

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Solution

The fourth proportional to 594.18, 820.98 and 462.06 is: 638.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.18 : 820.98 = 462.06 : x
  2. Step 2: Convert to fraction form
    594.18/820.98 = 462.06/x
  3. Step 3: Cross multiply
    594.18x = 820.98 × 462.06
  4. Step 4: Simplify right side
    594.18x = 379,342.02
  5. Step 5: Solve for x
    x = 379,342.02/594.18
  6. Step 6: Final answer
    x = 638.43

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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.