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Finding the Fourth Proportional to 974.89, 1,462.32 and 290.89

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Solution

The fourth proportional to 974.89, 1,462.32 and 290.89 is: 436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.89 : 1,462.32 = 290.89 : x
  2. Step 2: Convert to fraction form
    974.89/1,462.32 = 290.89/x
  3. Step 3: Cross multiply
    974.89x = 1,462.32 × 290.89
  4. Step 4: Simplify right side
    974.89x = 425,374.26
  5. Step 5: Solve for x
    x = 425,374.26/974.89
  6. Step 6: Final answer
    x = 436.33

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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.