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Finding the Fourth Proportional to 528.16, 728.88 and 331.60

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Solution

The fourth proportional to 528.16, 728.88 and 331.60 is: 457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.16 : 728.88 = 331.60 : x
  2. Step 2: Convert to fraction form
    528.16/728.88 = 331.60/x
  3. Step 3: Cross multiply
    528.16x = 728.88 × 331.60
  4. Step 4: Simplify right side
    528.16x = 241,696.61
  5. Step 5: Solve for x
    x = 241,696.61/528.16
  6. Step 6: Final answer
    x = 457.62

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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.