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Finding the Fourth Proportional to 313, 469.50 and 85

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Solution

The fourth proportional to 313, 469.50 and 85 is: 127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313 : 469.50 = 85 : x
  2. Step 2: Convert to fraction form
    313/469.50 = 85/x
  3. Step 3: Cross multiply
    313x = 469.50 × 85
  4. Step 4: Simplify right side
    313x = 39,907.50
  5. Step 5: Solve for x
    x = 39,907.50/313
  6. Step 6: Final answer
    x = 127.50

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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.