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Finding the Fourth Proportional to 524.96, 787.76 and 308.96

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Solution

The fourth proportional to 524.96, 787.76 and 308.96 is: 463.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 787.76 = 308.96 : x
  2. Step 2: Convert to fraction form
    524.96/787.76 = 308.96/x
  3. Step 3: Cross multiply
    524.96x = 787.76 × 308.96
  4. Step 4: Simplify right side
    524.96x = 243,386.33
  5. Step 5: Solve for x
    x = 243,386.33/524.96
  6. Step 6: Final answer
    x = 463.63

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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.