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Finding the Fourth Proportional to 524.52, 784.34 and 460.14

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Solution

The fourth proportional to 524.52, 784.34 and 460.14 is: 688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 784.34 = 460.14 : x
  2. Step 2: Convert to fraction form
    524.52/784.34 = 460.14/x
  3. Step 3: Cross multiply
    524.52x = 784.34 × 460.14
  4. Step 4: Simplify right side
    524.52x = 360,906.21
  5. Step 5: Solve for x
    x = 360,906.21/524.52
  6. Step 6: Final answer
    x = 688.07

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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.