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Finding the Fourth Proportional to 524.81, 787.52 and 305.51

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Solution

The fourth proportional to 524.81, 787.52 and 305.51 is: 458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.81 : 787.52 = 305.51 : x
  2. Step 2: Convert to fraction form
    524.81/787.52 = 305.51/x
  3. Step 3: Cross multiply
    524.81x = 787.52 × 305.51
  4. Step 4: Simplify right side
    524.81x = 240,592.06
  5. Step 5: Solve for x
    x = 240,592.06/524.81
  6. Step 6: Final answer
    x = 458.43

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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.