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Finding the Fourth Proportional to 476.87, 657.81 and 302.31

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Solution

The fourth proportional to 476.87, 657.81 and 302.31 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.87 : 657.81 = 302.31 : x
  2. Step 2: Convert to fraction form
    476.87/657.81 = 302.31/x
  3. Step 3: Cross multiply
    476.87x = 657.81 × 302.31
  4. Step 4: Simplify right side
    476.87x = 198,862.54
  5. Step 5: Solve for x
    x = 198,862.54/476.87
  6. Step 6: Final answer
    x = 417.02

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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.