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Finding the Fourth Proportional to 528.92, 730.16 and 342.51

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Solution

The fourth proportional to 528.92, 730.16 and 342.51 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.92 : 730.16 = 342.51 : x
  2. Step 2: Convert to fraction form
    528.92/730.16 = 342.51/x
  3. Step 3: Cross multiply
    528.92x = 730.16 × 342.51
  4. Step 4: Simplify right side
    528.92x = 250,085.39
  5. Step 5: Solve for x
    x = 250,085.39/528.92
  6. Step 6: Final answer
    x = 472.83

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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.