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Finding the Fourth Proportional to 524.17, 784.86 and 433.27

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Solution

The fourth proportional to 524.17, 784.86 and 433.27 is: 648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.17 : 784.86 = 433.27 : x
  2. Step 2: Convert to fraction form
    524.17/784.86 = 433.27/x
  3. Step 3: Cross multiply
    524.17x = 784.86 × 433.27
  4. Step 4: Simplify right side
    524.17x = 340,056.29
  5. Step 5: Solve for x
    x = 340,056.29/524.17
  6. Step 6: Final answer
    x = 648.75

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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.