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Finding the Fourth Proportional to 429.06, 590.92 and 370.03

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Solution

The fourth proportional to 429.06, 590.92 and 370.03 is: 509.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 590.92 = 370.03 : x
  2. Step 2: Convert to fraction form
    429.06/590.92 = 370.03/x
  3. Step 3: Cross multiply
    429.06x = 590.92 × 370.03
  4. Step 4: Simplify right side
    429.06x = 218,658.13
  5. Step 5: Solve for x
    x = 218,658.13/429.06
  6. Step 6: Final answer
    x = 509.62

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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.