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Finding the Fourth Proportional to 350.71, 525.65 and 310.21

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Solution

The fourth proportional to 350.71, 525.65 and 310.21 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.71 : 525.65 = 310.21 : x
  2. Step 2: Convert to fraction form
    350.71/525.65 = 310.21/x
  3. Step 3: Cross multiply
    350.71x = 525.65 × 310.21
  4. Step 4: Simplify right side
    350.71x = 163,061.89
  5. Step 5: Solve for x
    x = 163,061.89/350.71
  6. Step 6: Final answer
    x = 464.95

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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.