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Finding the Fourth Proportional to 469.72, 647.52 and 303.92

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Solution

The fourth proportional to 469.72, 647.52 and 303.92 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.72 : 647.52 = 303.92 : x
  2. Step 2: Convert to fraction form
    469.72/647.52 = 303.92/x
  3. Step 3: Cross multiply
    469.72x = 647.52 × 303.92
  4. Step 4: Simplify right side
    469.72x = 196,794.28
  5. Step 5: Solve for x
    x = 196,794.28/469.72
  6. Step 6: Final answer
    x = 418.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.