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Finding the Fourth Proportional to 528.94, 728.75 and 435.97

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Solution

The fourth proportional to 528.94, 728.75 and 435.97 is: 600.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 728.75 = 435.97 : x
  2. Step 2: Convert to fraction form
    528.94/728.75 = 435.97/x
  3. Step 3: Cross multiply
    528.94x = 728.75 × 435.97
  4. Step 4: Simplify right side
    528.94x = 317,707.31
  5. Step 5: Solve for x
    x = 317,707.31/528.94
  6. Step 6: Final answer
    x = 600.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.