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Finding the Fourth Proportional to 320.31, 476.66 and 316.89

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Solution

The fourth proportional to 320.31, 476.66 and 316.89 is: 471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.31 : 476.66 = 316.89 : x
  2. Step 2: Convert to fraction form
    320.31/476.66 = 316.89/x
  3. Step 3: Cross multiply
    320.31x = 476.66 × 316.89
  4. Step 4: Simplify right side
    320.31x = 151,048.79
  5. Step 5: Solve for x
    x = 151,048.79/320.31
  6. Step 6: Final answer
    x = 471.57

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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.