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Finding the Fourth Proportional to 528.24, 728.97 and 295.36

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Solution

The fourth proportional to 528.24, 728.97 and 295.36 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.24 : 728.97 = 295.36 : x
  2. Step 2: Convert to fraction form
    528.24/728.97 = 295.36/x
  3. Step 3: Cross multiply
    528.24x = 728.97 × 295.36
  4. Step 4: Simplify right side
    528.24x = 215,309.66
  5. Step 5: Solve for x
    x = 215,309.66/528.24
  6. Step 6: Final answer
    x = 407.60

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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.