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Finding the Fourth Proportional to 290.23, 432.84 and 257.73

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Solution

The fourth proportional to 290.23, 432.84 and 257.73 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.23 : 432.84 = 257.73 : x
  2. Step 2: Convert to fraction form
    290.23/432.84 = 257.73/x
  3. Step 3: Cross multiply
    290.23x = 432.84 × 257.73
  4. Step 4: Simplify right side
    290.23x = 111,557.63
  5. Step 5: Solve for x
    x = 111,557.63/290.23
  6. Step 6: Final answer
    x = 384.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.