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Finding the Fourth Proportional to 512.42, 707.04 and 335.30

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Solution

The fourth proportional to 512.42, 707.04 and 335.30 is: 462.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.42 : 707.04 = 335.30 : x
  2. Step 2: Convert to fraction form
    512.42/707.04 = 335.30/x
  3. Step 3: Cross multiply
    512.42x = 707.04 × 335.30
  4. Step 4: Simplify right side
    512.42x = 237,070.51
  5. Step 5: Solve for x
    x = 237,070.51/512.42
  6. Step 6: Final answer
    x = 462.65

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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.