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Finding the Fourth Proportional to 770.71, 1,155.71 and 308.10

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Solution

The fourth proportional to 770.71, 1,155.71 and 308.10 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,155.71 = 308.10 : x
  2. Step 2: Convert to fraction form
    770.71/1,155.71 = 308.10/x
  3. Step 3: Cross multiply
    770.71x = 1,155.71 × 308.10
  4. Step 4: Simplify right side
    770.71x = 356,070.59
  5. Step 5: Solve for x
    x = 356,070.59/770.71
  6. Step 6: Final answer
    x = 462.00

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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.