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Finding the Fourth Proportional to 594.27, 820.11 and 358.35

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Solution

The fourth proportional to 594.27, 820.11 and 358.35 is: 494.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.27 : 820.11 = 358.35 : x
  2. Step 2: Convert to fraction form
    594.27/820.11 = 358.35/x
  3. Step 3: Cross multiply
    594.27x = 820.11 × 358.35
  4. Step 4: Simplify right side
    594.27x = 293,886.42
  5. Step 5: Solve for x
    x = 293,886.42/594.27
  6. Step 6: Final answer
    x = 494.53

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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.