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Finding the Fourth Proportional to 976, 1,464.08 and 292

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Solution

The fourth proportional to 976, 1,464.08 and 292 is: 438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,464.08 = 292 : x
  2. Step 2: Convert to fraction form
    976/1,464.08 = 292/x
  3. Step 3: Cross multiply
    976x = 1,464.08 × 292
  4. Step 4: Simplify right side
    976x = 427,511.36
  5. Step 5: Solve for x
    x = 427,511.36/976
  6. Step 6: Final answer
    x = 438.02

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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.