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Finding the Fourth Proportional to 922.58, 1,383.75 and 306.29

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Solution

The fourth proportional to 922.58, 1,383.75 and 306.29 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.58 : 1,383.75 = 306.29 : x
  2. Step 2: Convert to fraction form
    922.58/1,383.75 = 306.29/x
  3. Step 3: Cross multiply
    922.58x = 1,383.75 × 306.29
  4. Step 4: Simplify right side
    922.58x = 423,828.79
  5. Step 5: Solve for x
    x = 423,828.79/922.58
  6. Step 6: Final answer
    x = 459.40

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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.