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Finding the Fourth Proportional to 462.45, 693.75 and 188.73

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Solution

The fourth proportional to 462.45, 693.75 and 188.73 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.75 = 188.73 : x
  2. Step 2: Convert to fraction form
    462.45/693.75 = 188.73/x
  3. Step 3: Cross multiply
    462.45x = 693.75 × 188.73
  4. Step 4: Simplify right side
    462.45x = 130,931.44
  5. Step 5: Solve for x
    x = 130,931.44/462.45
  6. Step 6: Final answer
    x = 283.13

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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.