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Finding the Fourth Proportional to 956.44, 1,434.30 and 340.12

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Solution

The fourth proportional to 956.44, 1,434.30 and 340.12 is: 510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.44 : 1,434.30 = 340.12 : x
  2. Step 2: Convert to fraction form
    956.44/1,434.30 = 340.12/x
  3. Step 3: Cross multiply
    956.44x = 1,434.30 × 340.12
  4. Step 4: Simplify right side
    956.44x = 487,834.12
  5. Step 5: Solve for x
    x = 487,834.12/956.44
  6. Step 6: Final answer
    x = 510.05

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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.