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Finding the Fourth Proportional to 971.45, 1,456.83 and 313.30

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Solution

The fourth proportional to 971.45, 1,456.83 and 313.30 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.45 : 1,456.83 = 313.30 : x
  2. Step 2: Convert to fraction form
    971.45/1,456.83 = 313.30/x
  3. Step 3: Cross multiply
    971.45x = 1,456.83 × 313.30
  4. Step 4: Simplify right side
    971.45x = 456,424.84
  5. Step 5: Solve for x
    x = 456,424.84/971.45
  6. Step 6: Final answer
    x = 469.84

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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.