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Finding the Fourth Proportional to 594.08, 820.13 and 461.00

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Solution

The fourth proportional to 594.08, 820.13 and 461.00 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.08 : 820.13 = 461.00 : x
  2. Step 2: Convert to fraction form
    594.08/820.13 = 461.00/x
  3. Step 3: Cross multiply
    594.08x = 820.13 × 461.00
  4. Step 4: Simplify right side
    594.08x = 378,073.52
  5. Step 5: Solve for x
    x = 378,073.52/594.08
  6. Step 6: Final answer
    x = 636.41

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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.