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Finding the Fourth Proportional to 462.45, 693.21 and 256.98

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Solution

The fourth proportional to 462.45, 693.21 and 256.98 is: 385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.45 : 693.21 = 256.98 : x
  2. Step 2: Convert to fraction form
    462.45/693.21 = 256.98/x
  3. Step 3: Cross multiply
    462.45x = 693.21 × 256.98
  4. Step 4: Simplify right side
    462.45x = 178,141.11
  5. Step 5: Solve for x
    x = 178,141.11/462.45
  6. Step 6: Final answer
    x = 385.21

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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.