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Finding the Fourth Proportional to 298.95, 412.03 and 265.02

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Solution

The fourth proportional to 298.95, 412.03 and 265.02 is: 365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.95 : 412.03 = 265.02 : x
  2. Step 2: Convert to fraction form
    298.95/412.03 = 265.02/x
  3. Step 3: Cross multiply
    298.95x = 412.03 × 265.02
  4. Step 4: Simplify right side
    298.95x = 109,196.19
  5. Step 5: Solve for x
    x = 109,196.19/298.95
  6. Step 6: Final answer
    x = 365.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.