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Finding the Fourth Proportional to 523.56, 785.32 and 215.34

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Solution

The fourth proportional to 523.56, 785.32 and 215.34 is: 322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 785.32 = 215.34 : x
  2. Step 2: Convert to fraction form
    523.56/785.32 = 215.34/x
  3. Step 3: Cross multiply
    523.56x = 785.32 × 215.34
  4. Step 4: Simplify right side
    523.56x = 169,105.81
  5. Step 5: Solve for x
    x = 169,105.81/523.56
  6. Step 6: Final answer
    x = 322.99

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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.