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Finding the Fourth Proportional to 771.30, 1,156.88 and 338.45

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Solution

The fourth proportional to 771.30, 1,156.88 and 338.45 is: 507.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.30 : 1,156.88 = 338.45 : x
  2. Step 2: Convert to fraction form
    771.30/1,156.88 = 338.45/x
  3. Step 3: Cross multiply
    771.30x = 1,156.88 × 338.45
  4. Step 4: Simplify right side
    771.30x = 391,541.10
  5. Step 5: Solve for x
    x = 391,541.10/771.30
  6. Step 6: Final answer
    x = 507.64

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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.