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Finding the Fourth Proportional to 594.38, 820.04 and 417.42

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Solution

The fourth proportional to 594.38, 820.04 and 417.42 is: 575.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.38 : 820.04 = 417.42 : x
  2. Step 2: Convert to fraction form
    594.38/820.04 = 417.42/x
  3. Step 3: Cross multiply
    594.38x = 820.04 × 417.42
  4. Step 4: Simplify right side
    594.38x = 342,301.10
  5. Step 5: Solve for x
    x = 342,301.10/594.38
  6. Step 6: Final answer
    x = 575.90

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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.