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Finding the Fourth Proportional to 475.39, 713.76 and 303.13

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Solution

The fourth proportional to 475.39, 713.76 and 303.13 is: 455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.39 : 713.76 = 303.13 : x
  2. Step 2: Convert to fraction form
    475.39/713.76 = 303.13/x
  3. Step 3: Cross multiply
    475.39x = 713.76 × 303.13
  4. Step 4: Simplify right side
    475.39x = 216,362.07
  5. Step 5: Solve for x
    x = 216,362.07/475.39
  6. Step 6: Final answer
    x = 455.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.