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Finding the Fourth Proportional to 395.34, 595.23 and 287.88

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Solution

The fourth proportional to 395.34, 595.23 and 287.88 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 595.23 = 287.88 : x
  2. Step 2: Convert to fraction form
    395.34/595.23 = 287.88/x
  3. Step 3: Cross multiply
    395.34x = 595.23 × 287.88
  4. Step 4: Simplify right side
    395.34x = 171,354.81
  5. Step 5: Solve for x
    x = 171,354.81/395.34
  6. Step 6: Final answer
    x = 433.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.