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Finding the Fourth Proportional to 469.80, 647.72 and 303.72

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Solution

The fourth proportional to 469.80, 647.72 and 303.72 is: 418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.80 : 647.72 = 303.72 : x
  2. Step 2: Convert to fraction form
    469.80/647.72 = 303.72/x
  3. Step 3: Cross multiply
    469.80x = 647.72 × 303.72
  4. Step 4: Simplify right side
    469.80x = 196,725.52
  5. Step 5: Solve for x
    x = 196,725.52/469.80
  6. Step 6: Final answer
    x = 418.74

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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.