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Finding the Fourth Proportional to 926.71, 1,390.23 and 310.48

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Solution

The fourth proportional to 926.71, 1,390.23 and 310.48 is: 465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.71 : 1,390.23 = 310.48 : x
  2. Step 2: Convert to fraction form
    926.71/1,390.23 = 310.48/x
  3. Step 3: Cross multiply
    926.71x = 1,390.23 × 310.48
  4. Step 4: Simplify right side
    926.71x = 431,635.13
  5. Step 5: Solve for x
    x = 431,635.13/926.71
  6. Step 6: Final answer
    x = 465.77

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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.