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Finding the Fourth Proportional to 514.12, 770.88 and 359.22

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Solution

The fourth proportional to 514.12, 770.88 and 359.22 is: 538.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 770.88 = 359.22 : x
  2. Step 2: Convert to fraction form
    514.12/770.88 = 359.22/x
  3. Step 3: Cross multiply
    514.12x = 770.88 × 359.22
  4. Step 4: Simplify right side
    514.12x = 276,915.51
  5. Step 5: Solve for x
    x = 276,915.51/514.12
  6. Step 6: Final answer
    x = 538.62

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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.