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Finding the Fourth Proportional to 528.13, 728.84 and 295.25

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Solution

The fourth proportional to 528.13, 728.84 and 295.25 is: 407.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.13 : 728.84 = 295.25 : x
  2. Step 2: Convert to fraction form
    528.13/728.84 = 295.25/x
  3. Step 3: Cross multiply
    528.13x = 728.84 × 295.25
  4. Step 4: Simplify right side
    528.13x = 215,188.53
  5. Step 5: Solve for x
    x = 215,188.53/528.13
  6. Step 6: Final answer
    x = 407.46

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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.