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Finding the Fourth Proportional to 318.36, 475.33 and 307.16

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Solution

The fourth proportional to 318.36, 475.33 and 307.16 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.36 : 475.33 = 307.16 : x
  2. Step 2: Convert to fraction form
    318.36/475.33 = 307.16/x
  3. Step 3: Cross multiply
    318.36x = 475.33 × 307.16
  4. Step 4: Simplify right side
    318.36x = 146,002.36
  5. Step 5: Solve for x
    x = 146,002.36/318.36
  6. Step 6: Final answer
    x = 458.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.