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Finding the Fourth Proportional to 345.43, 475.19 and 303.22

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Solution

The fourth proportional to 345.43, 475.19 and 303.22 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.43 : 475.19 = 303.22 : x
  2. Step 2: Convert to fraction form
    345.43/475.19 = 303.22/x
  3. Step 3: Cross multiply
    345.43x = 475.19 × 303.22
  4. Step 4: Simplify right side
    345.43x = 144,084.41
  5. Step 5: Solve for x
    x = 144,084.41/345.43
  6. Step 6: Final answer
    x = 417.12

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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.