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Finding the Fourth Proportional to 594.59, 820.31 and 358.61

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Solution

The fourth proportional to 594.59, 820.31 and 358.61 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.59 : 820.31 = 358.61 : x
  2. Step 2: Convert to fraction form
    594.59/820.31 = 358.61/x
  3. Step 3: Cross multiply
    594.59x = 820.31 × 358.61
  4. Step 4: Simplify right side
    594.59x = 294,165.47
  5. Step 5: Solve for x
    x = 294,165.47/594.59
  6. Step 6: Final answer
    x = 494.74

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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.