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Finding the Fourth Proportional to 976.70, 1,464.83 and 283.36

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Solution

The fourth proportional to 976.70, 1,464.83 and 283.36 is: 424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.70 : 1,464.83 = 283.36 : x
  2. Step 2: Convert to fraction form
    976.70/1,464.83 = 283.36/x
  3. Step 3: Cross multiply
    976.70x = 1,464.83 × 283.36
  4. Step 4: Simplify right side
    976.70x = 415,074.23
  5. Step 5: Solve for x
    x = 415,074.23/976.70
  6. Step 6: Final answer
    x = 424.98

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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.