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Finding the Fourth Proportional to 297.04, 446.28 and 277.12

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Solution

The fourth proportional to 297.04, 446.28 and 277.12 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.04 : 446.28 = 277.12 : x
  2. Step 2: Convert to fraction form
    297.04/446.28 = 277.12/x
  3. Step 3: Cross multiply
    297.04x = 446.28 × 277.12
  4. Step 4: Simplify right side
    297.04x = 123,673.11
  5. Step 5: Solve for x
    x = 123,673.11/297.04
  6. Step 6: Final answer
    x = 416.35

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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.