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Finding the Fourth Proportional to 594.42, 820.26 and 370.32

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Solution

The fourth proportional to 594.42, 820.26 and 370.32 is: 511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.42 : 820.26 = 370.32 : x
  2. Step 2: Convert to fraction form
    594.42/820.26 = 370.32/x
  3. Step 3: Cross multiply
    594.42x = 820.26 × 370.32
  4. Step 4: Simplify right side
    594.42x = 303,758.68
  5. Step 5: Solve for x
    x = 303,758.68/594.42
  6. Step 6: Final answer
    x = 511.02

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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.