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Finding the Fourth Proportional to 528.06, 728.67 and 295.14

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Solution

The fourth proportional to 528.06, 728.67 and 295.14 is: 407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.06 : 728.67 = 295.14 : x
  2. Step 2: Convert to fraction form
    528.06/728.67 = 295.14/x
  3. Step 3: Cross multiply
    528.06x = 728.67 × 295.14
  4. Step 4: Simplify right side
    528.06x = 215,059.66
  5. Step 5: Solve for x
    x = 215,059.66/528.06
  6. Step 6: Final answer
    x = 407.26

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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.