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Finding the Fourth Proportional to 512.92, 707.64 and 336.10

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Solution

The fourth proportional to 512.92, 707.64 and 336.10 is: 463.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.92 : 707.64 = 336.10 : x
  2. Step 2: Convert to fraction form
    512.92/707.64 = 336.10/x
  3. Step 3: Cross multiply
    512.92x = 707.64 × 336.10
  4. Step 4: Simplify right side
    512.92x = 237,837.80
  5. Step 5: Solve for x
    x = 237,837.80/512.92
  6. Step 6: Final answer
    x = 463.69

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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.