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Finding the Fourth Proportional to 528.15, 728.90 and 295.23

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Solution

The fourth proportional to 528.15, 728.90 and 295.23 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.15 : 728.90 = 295.23 : x
  2. Step 2: Convert to fraction form
    528.15/728.90 = 295.23/x
  3. Step 3: Cross multiply
    528.15x = 728.90 × 295.23
  4. Step 4: Simplify right side
    528.15x = 215,190.24
  5. Step 5: Solve for x
    x = 215,190.24/528.15
  6. Step 6: Final answer
    x = 407.45

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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.