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Finding the Fourth Proportional to 313.26, 468.87 and 283.32

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Solution

The fourth proportional to 313.26, 468.87 and 283.32 is: 424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 468.87 = 283.32 : x
  2. Step 2: Convert to fraction form
    313.26/468.87 = 283.32/x
  3. Step 3: Cross multiply
    313.26x = 468.87 × 283.32
  4. Step 4: Simplify right side
    313.26x = 132,840.25
  5. Step 5: Solve for x
    x = 132,840.25/313.26
  6. Step 6: Final answer
    x = 424.06

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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.