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Finding the Fourth Proportional to 976.42, 1,464.70 and 309.26

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Solution

The fourth proportional to 976.42, 1,464.70 and 309.26 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.42 : 1,464.70 = 309.26 : x
  2. Step 2: Convert to fraction form
    976.42/1,464.70 = 309.26/x
  3. Step 3: Cross multiply
    976.42x = 1,464.70 × 309.26
  4. Step 4: Simplify right side
    976.42x = 452,973.12
  5. Step 5: Solve for x
    x = 452,973.12/976.42
  6. Step 6: Final answer
    x = 463.91

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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.