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Finding the Fourth Proportional to 528.11, 728.78 and 292.07

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Solution

The fourth proportional to 528.11, 728.78 and 292.07 is: 403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.11 : 728.78 = 292.07 : x
  2. Step 2: Convert to fraction form
    528.11/728.78 = 292.07/x
  3. Step 3: Cross multiply
    528.11x = 728.78 × 292.07
  4. Step 4: Simplify right side
    528.11x = 212,857.33
  5. Step 5: Solve for x
    x = 212,857.33/528.11
  6. Step 6: Final answer
    x = 403.06

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