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Finding the Fourth Proportional to 352.09, 528.23 and 286.93

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Solution

The fourth proportional to 352.09, 528.23 and 286.93 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.09 : 528.23 = 286.93 : x
  2. Step 2: Convert to fraction form
    352.09/528.23 = 286.93/x
  3. Step 3: Cross multiply
    352.09x = 528.23 × 286.93
  4. Step 4: Simplify right side
    352.09x = 151,565.03
  5. Step 5: Solve for x
    x = 151,565.03/352.09
  6. Step 6: Final answer
    x = 430.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.