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Finding the Fourth Proportional to 511.92, 706.80 and 364.72

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Solution

The fourth proportional to 511.92, 706.80 and 364.72 is: 503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 706.80 = 364.72 : x
  2. Step 2: Convert to fraction form
    511.92/706.80 = 364.72/x
  3. Step 3: Cross multiply
    511.92x = 706.80 × 364.72
  4. Step 4: Simplify right side
    511.92x = 257,784.10
  5. Step 5: Solve for x
    x = 257,784.10/511.92
  6. Step 6: Final answer
    x = 503.56

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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.