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Finding the Fourth Proportional to 309.10, 464.10 and 289.04

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Solution

The fourth proportional to 309.10, 464.10 and 289.04 is: 433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 464.10 = 289.04 : x
  2. Step 2: Convert to fraction form
    309.10/464.10 = 289.04/x
  3. Step 3: Cross multiply
    309.10x = 464.10 × 289.04
  4. Step 4: Simplify right side
    309.10x = 134,143.46
  5. Step 5: Solve for x
    x = 134,143.46/309.10
  6. Step 6: Final answer
    x = 433.98

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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.