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Finding the Fourth Proportional to 458.70, 688.26 and 185.33

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Solution

The fourth proportional to 458.70, 688.26 and 185.33 is: 278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.70 : 688.26 = 185.33 : x
  2. Step 2: Convert to fraction form
    458.70/688.26 = 185.33/x
  3. Step 3: Cross multiply
    458.70x = 688.26 × 185.33
  4. Step 4: Simplify right side
    458.70x = 127,555.18
  5. Step 5: Solve for x
    x = 127,555.18/458.70
  6. Step 6: Final answer
    x = 278.08

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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.