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Finding the Fourth Proportional to 511.77, 768.42 and 339.51

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Solution

The fourth proportional to 511.77, 768.42 and 339.51 is: 509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.77 : 768.42 = 339.51 : x
  2. Step 2: Convert to fraction form
    511.77/768.42 = 339.51/x
  3. Step 3: Cross multiply
    511.77x = 768.42 × 339.51
  4. Step 4: Simplify right side
    511.77x = 260,886.27
  5. Step 5: Solve for x
    x = 260,886.27/511.77
  6. Step 6: Final answer
    x = 509.77

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Double scale
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Similar ratio
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1.5x scale

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.