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Finding the Fourth Proportional to 529.92, 730.92 and 512.08

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Solution

The fourth proportional to 529.92, 730.92 and 512.08 is: 706.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 730.92 = 512.08 : x
  2. Step 2: Convert to fraction form
    529.92/730.92 = 512.08/x
  3. Step 3: Cross multiply
    529.92x = 730.92 × 512.08
  4. Step 4: Simplify right side
    529.92x = 374,289.51
  5. Step 5: Solve for x
    x = 374,289.51/529.92
  6. Step 6: Final answer
    x = 706.31

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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.