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Finding the Fourth Proportional to 528.12, 728.58 and 318.24

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Solution

The fourth proportional to 528.12, 728.58 and 318.24 is: 439.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.12 : 728.58 = 318.24 : x
  2. Step 2: Convert to fraction form
    528.12/728.58 = 318.24/x
  3. Step 3: Cross multiply
    528.12x = 728.58 × 318.24
  4. Step 4: Simplify right side
    528.12x = 231,863.30
  5. Step 5: Solve for x
    x = 231,863.30/528.12
  6. Step 6: Final answer
    x = 439.04

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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.