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Finding the Fourth Proportional to 523.12, 721.68 and 368.08

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Solution

The fourth proportional to 523.12, 721.68 and 368.08 is: 507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 721.68 = 368.08 : x
  2. Step 2: Convert to fraction form
    523.12/721.68 = 368.08/x
  3. Step 3: Cross multiply
    523.12x = 721.68 × 368.08
  4. Step 4: Simplify right side
    523.12x = 265,635.97
  5. Step 5: Solve for x
    x = 265,635.97/523.12
  6. Step 6: Final answer
    x = 507.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.