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Finding the Fourth Proportional to 934.94, 1,402.40 and 319.08

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Solution

The fourth proportional to 934.94, 1,402.40 and 319.08 is: 478.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.94 : 1,402.40 = 319.08 : x
  2. Step 2: Convert to fraction form
    934.94/1,402.40 = 319.08/x
  3. Step 3: Cross multiply
    934.94x = 1,402.40 × 319.08
  4. Step 4: Simplify right side
    934.94x = 447,473.54
  5. Step 5: Solve for x
    x = 447,473.54/934.94
  6. Step 6: Final answer
    x = 478.61

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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.