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Finding the Fourth Proportional to 662.31, 914.31 and 476.10

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Solution

The fourth proportional to 662.31, 914.31 and 476.10 is: 657.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 914.31 = 476.10 : x
  2. Step 2: Convert to fraction form
    662.31/914.31 = 476.10/x
  3. Step 3: Cross multiply
    662.31x = 914.31 × 476.10
  4. Step 4: Simplify right side
    662.31x = 435,302.99
  5. Step 5: Solve for x
    x = 435,302.99/662.31
  6. Step 6: Final answer
    x = 657.25

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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.