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Finding the Fourth Proportional to 528.23, 728.97 and 295.35

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Solution

The fourth proportional to 528.23, 728.97 and 295.35 is: 407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.23 : 728.97 = 295.35 : x
  2. Step 2: Convert to fraction form
    528.23/728.97 = 295.35/x
  3. Step 3: Cross multiply
    528.23x = 728.97 × 295.35
  4. Step 4: Simplify right side
    528.23x = 215,299.81
  5. Step 5: Solve for x
    x = 215,299.81/528.23
  6. Step 6: Final answer
    x = 407.59

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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.