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Finding the Fourth Proportional to 770.95, 1,156.21 and 338

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Solution

The fourth proportional to 770.95, 1,156.21 and 338 is: 506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.95 : 1,156.21 = 338 : x
  2. Step 2: Convert to fraction form
    770.95/1,156.21 = 338/x
  3. Step 3: Cross multiply
    770.95x = 1,156.21 × 338
  4. Step 4: Simplify right side
    770.95x = 390,798.98
  5. Step 5: Solve for x
    x = 390,798.98/770.95
  6. Step 6: Final answer
    x = 506.91

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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.