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Finding the Fourth Proportional to 458.93, 688.42 and 185.02

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Solution

The fourth proportional to 458.93, 688.42 and 185.02 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.93 : 688.42 = 185.02 : x
  2. Step 2: Convert to fraction form
    458.93/688.42 = 185.02/x
  3. Step 3: Cross multiply
    458.93x = 688.42 × 185.02
  4. Step 4: Simplify right side
    458.93x = 127,368.03
  5. Step 5: Solve for x
    x = 127,368.03/458.93
  6. Step 6: Final answer
    x = 277.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.