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Finding the Fourth Proportional to 512.94, 707.32 and 336.06

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Solution

The fourth proportional to 512.94, 707.32 and 336.06 is: 463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 707.32 = 336.06 : x
  2. Step 2: Convert to fraction form
    512.94/707.32 = 336.06/x
  3. Step 3: Cross multiply
    512.94x = 707.32 × 336.06
  4. Step 4: Simplify right side
    512.94x = 237,701.12
  5. Step 5: Solve for x
    x = 237,701.12/512.94
  6. Step 6: Final answer
    x = 463.41

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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.