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Finding the Fourth Proportional to 431.34, 647.14 and 258.20

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Solution

The fourth proportional to 431.34, 647.14 and 258.20 is: 387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 647.14 = 258.20 : x
  2. Step 2: Convert to fraction form
    431.34/647.14 = 258.20/x
  3. Step 3: Cross multiply
    431.34x = 647.14 × 258.20
  4. Step 4: Simplify right side
    431.34x = 167,090.09
  5. Step 5: Solve for x
    x = 167,090.09/431.34
  6. Step 6: Final answer
    x = 387.38

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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.