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Finding the Fourth Proportional to 959.72, 1,439.79 and 310.41

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Solution

The fourth proportional to 959.72, 1,439.79 and 310.41 is: 465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.72 : 1,439.79 = 310.41 : x
  2. Step 2: Convert to fraction form
    959.72/1,439.79 = 310.41/x
  3. Step 3: Cross multiply
    959.72x = 1,439.79 × 310.41
  4. Step 4: Simplify right side
    959.72x = 446,925.21
  5. Step 5: Solve for x
    x = 446,925.21/959.72
  6. Step 6: Final answer
    x = 465.68

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Why These Related Problems?

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