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Finding the Fourth Proportional to 528.44, 728.06 and 435.47

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Solution

The fourth proportional to 528.44, 728.06 and 435.47 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.44 : 728.06 = 435.47 : x
  2. Step 2: Convert to fraction form
    528.44/728.06 = 435.47/x
  3. Step 3: Cross multiply
    528.44x = 728.06 × 435.47
  4. Step 4: Simplify right side
    528.44x = 317,042.47
  5. Step 5: Solve for x
    x = 317,042.47/528.44
  6. Step 6: Final answer
    x = 599.96

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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.