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Finding the Fourth Proportional to 997.16, 1,495.90 and 313

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Solution

The fourth proportional to 997.16, 1,495.90 and 313 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.16 : 1,495.90 = 313 : x
  2. Step 2: Convert to fraction form
    997.16/1,495.90 = 313/x
  3. Step 3: Cross multiply
    997.16x = 1,495.90 × 313
  4. Step 4: Simplify right side
    997.16x = 468,216.70
  5. Step 5: Solve for x
    x = 468,216.70/997.16
  6. Step 6: Final answer
    x = 469.55

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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.