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Finding the Fourth Proportional to 430.82, 594.74 and 375.44

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Solution

The fourth proportional to 430.82, 594.74 and 375.44 is: 518.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.82 : 594.74 = 375.44 : x
  2. Step 2: Convert to fraction form
    430.82/594.74 = 375.44/x
  3. Step 3: Cross multiply
    430.82x = 594.74 × 375.44
  4. Step 4: Simplify right side
    430.82x = 223,287.15
  5. Step 5: Solve for x
    x = 223,287.15/430.82
  6. Step 6: Final answer
    x = 518.29

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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.