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Finding the Fourth Proportional to 458.67, 688.10 and 266.25

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Solution

The fourth proportional to 458.67, 688.10 and 266.25 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 688.10 = 266.25 : x
  2. Step 2: Convert to fraction form
    458.67/688.10 = 266.25/x
  3. Step 3: Cross multiply
    458.67x = 688.10 × 266.25
  4. Step 4: Simplify right side
    458.67x = 183,205.29
  5. Step 5: Solve for x
    x = 183,205.29/458.67
  6. Step 6: Final answer
    x = 399.43

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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.