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Finding the Fourth Proportional to 995.31, 1,492.61 and 292.34

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Solution

The fourth proportional to 995.31, 1,492.61 and 292.34 is: 438.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.31 : 1,492.61 = 292.34 : x
  2. Step 2: Convert to fraction form
    995.31/1,492.61 = 292.34/x
  3. Step 3: Cross multiply
    995.31x = 1,492.61 × 292.34
  4. Step 4: Simplify right side
    995.31x = 436,340.68
  5. Step 5: Solve for x
    x = 436,340.68/995.31
  6. Step 6: Final answer
    x = 438.40

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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.