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Finding the Fourth Proportional to 350.75, 526.22 and 312.49

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Solution

The fourth proportional to 350.75, 526.22 and 312.49 is: 468.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.75 : 526.22 = 312.49 : x
  2. Step 2: Convert to fraction form
    350.75/526.22 = 312.49/x
  3. Step 3: Cross multiply
    350.75x = 526.22 × 312.49
  4. Step 4: Simplify right side
    350.75x = 164,438.49
  5. Step 5: Solve for x
    x = 164,438.49/350.75
  6. Step 6: Final answer
    x = 468.82

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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.