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Finding the Fourth Proportional to 528.18, 728.84 and 295.26

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Solution

The fourth proportional to 528.18, 728.84 and 295.26 is: 407.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.18 : 728.84 = 295.26 : x
  2. Step 2: Convert to fraction form
    528.18/728.84 = 295.26/x
  3. Step 3: Cross multiply
    528.18x = 728.84 × 295.26
  4. Step 4: Simplify right side
    528.18x = 215,197.30
  5. Step 5: Solve for x
    x = 215,197.30/528.18
  6. Step 6: Final answer
    x = 407.43

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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.