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Finding the Fourth Proportional to 528.18, 728.88 and 292.12

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Solution

The fourth proportional to 528.18, 728.88 and 292.12 is: 403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.18 : 728.88 = 292.12 : x
  2. Step 2: Convert to fraction form
    528.18/728.88 = 292.12/x
  3. Step 3: Cross multiply
    528.18x = 728.88 × 292.12
  4. Step 4: Simplify right side
    528.18x = 212,920.43
  5. Step 5: Solve for x
    x = 212,920.43/528.18
  6. Step 6: Final answer
    x = 403.12

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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.