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Finding the Fourth Proportional to 431.34, 595.80 and 344.70

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Solution

The fourth proportional to 431.34, 595.80 and 344.70 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.34 : 595.80 = 344.70 : x
  2. Step 2: Convert to fraction form
    431.34/595.80 = 344.70/x
  3. Step 3: Cross multiply
    431.34x = 595.80 × 344.70
  4. Step 4: Simplify right side
    431.34x = 205,372.26
  5. Step 5: Solve for x
    x = 205,372.26/431.34
  6. Step 6: Final answer
    x = 476.13

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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.