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Finding the Fourth Proportional to 995.29, 1,492.93 and 301.89

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Solution

The fourth proportional to 995.29, 1,492.93 and 301.89 is: 452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.29 : 1,492.93 = 301.89 : x
  2. Step 2: Convert to fraction form
    995.29/1,492.93 = 301.89/x
  3. Step 3: Cross multiply
    995.29x = 1,492.93 × 301.89
  4. Step 4: Simplify right side
    995.29x = 450,706.61
  5. Step 5: Solve for x
    x = 450,706.61/995.29
  6. Step 6: Final answer
    x = 452.84

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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.