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Finding the Fourth Proportional to 770.30, 1,155.05 and 307.71

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Solution

The fourth proportional to 770.30, 1,155.05 and 307.71 is: 461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.30 : 1,155.05 = 307.71 : x
  2. Step 2: Convert to fraction form
    770.30/1,155.05 = 307.71/x
  3. Step 3: Cross multiply
    770.30x = 1,155.05 × 307.71
  4. Step 4: Simplify right side
    770.30x = 355,418.90
  5. Step 5: Solve for x
    x = 355,418.90/770.30
  6. Step 6: Final answer
    x = 461.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.