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Finding the Fourth Proportional to 512.85, 707.10 and 434.03

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Solution

The fourth proportional to 512.85, 707.10 and 434.03 is: 598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.85 : 707.10 = 434.03 : x
  2. Step 2: Convert to fraction form
    512.85/707.10 = 434.03/x
  3. Step 3: Cross multiply
    512.85x = 707.10 × 434.03
  4. Step 4: Simplify right side
    512.85x = 306,899.08
  5. Step 5: Solve for x
    x = 306,899.08/512.85
  6. Step 6: Final answer
    x = 598.42

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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.