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Finding the Fourth Proportional to 594.61, 820.56 and 345.95

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Solution

The fourth proportional to 594.61, 820.56 and 345.95 is: 477.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 820.56 = 345.95 : x
  2. Step 2: Convert to fraction form
    594.61/820.56 = 345.95/x
  3. Step 3: Cross multiply
    594.61x = 820.56 × 345.95
  4. Step 4: Simplify right side
    594.61x = 283,874.70
  5. Step 5: Solve for x
    x = 283,874.70/594.61
  6. Step 6: Final answer
    x = 477.42

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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.