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Finding the Fourth Proportional to 997, 1,495.50 and 313

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Solution

The fourth proportional to 997, 1,495.50 and 313 is: 469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997 : 1,495.50 = 313 : x
  2. Step 2: Convert to fraction form
    997/1,495.50 = 313/x
  3. Step 3: Cross multiply
    997x = 1,495.50 × 313
  4. Step 4: Simplify right side
    997x = 468,091.50
  5. Step 5: Solve for x
    x = 468,091.50/997
  6. Step 6: Final answer
    x = 469.50

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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.