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Finding the Fourth Proportional to 301.12, 413.44 and 296.53

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Solution

The fourth proportional to 301.12, 413.44 and 296.53 is: 407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.12 : 413.44 = 296.53 : x
  2. Step 2: Convert to fraction form
    301.12/413.44 = 296.53/x
  3. Step 3: Cross multiply
    301.12x = 413.44 × 296.53
  4. Step 4: Simplify right side
    301.12x = 122,595.59
  5. Step 5: Solve for x
    x = 122,595.59/301.12
  6. Step 6: Final answer
    x = 407.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.