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Finding the Fourth Proportional to 523.74, 785.16 and 215.40

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Solution

The fourth proportional to 523.74, 785.16 and 215.40 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.16 = 215.40 : x
  2. Step 2: Convert to fraction form
    523.74/785.16 = 215.40/x
  3. Step 3: Cross multiply
    523.74x = 785.16 × 215.40
  4. Step 4: Simplify right side
    523.74x = 169,118.46
  5. Step 5: Solve for x
    x = 169,118.46/523.74
  6. Step 6: Final answer
    x = 322.91

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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.