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Finding the Fourth Proportional to 350.70, 525.53 and 312.25

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Solution

The fourth proportional to 350.70, 525.53 and 312.25 is: 467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.70 : 525.53 = 312.25 : x
  2. Step 2: Convert to fraction form
    350.70/525.53 = 312.25/x
  3. Step 3: Cross multiply
    350.70x = 525.53 × 312.25
  4. Step 4: Simplify right side
    350.70x = 164,096.74
  5. Step 5: Solve for x
    x = 164,096.74/350.70
  6. Step 6: Final answer
    x = 467.91

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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.