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Finding the Fourth Proportional to 333.10, 498.93 and 269.02

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Solution

The fourth proportional to 333.10, 498.93 and 269.02 is: 402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.10 : 498.93 = 269.02 : x
  2. Step 2: Convert to fraction form
    333.10/498.93 = 269.02/x
  3. Step 3: Cross multiply
    333.10x = 498.93 × 269.02
  4. Step 4: Simplify right side
    333.10x = 134,222.15
  5. Step 5: Solve for x
    x = 134,222.15/333.10
  6. Step 6: Final answer
    x = 402.95

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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.