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Finding the Fourth Proportional to 995.10, 1,492.76 and 264.68

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Solution

The fourth proportional to 995.10, 1,492.76 and 264.68 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.10 : 1,492.76 = 264.68 : x
  2. Step 2: Convert to fraction form
    995.10/1,492.76 = 264.68/x
  3. Step 3: Cross multiply
    995.10x = 1,492.76 × 264.68
  4. Step 4: Simplify right side
    995.10x = 395,102.51
  5. Step 5: Solve for x
    x = 395,102.51/995.10
  6. Step 6: Final answer
    x = 397.05

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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.