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Finding the Fourth Proportional to 303.51, 457.29 and 274.65

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Solution

The fourth proportional to 303.51, 457.29 and 274.65 is: 413.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.51 : 457.29 = 274.65 : x
  2. Step 2: Convert to fraction form
    303.51/457.29 = 274.65/x
  3. Step 3: Cross multiply
    303.51x = 457.29 × 274.65
  4. Step 4: Simplify right side
    303.51x = 125,594.70
  5. Step 5: Solve for x
    x = 125,594.70/303.51
  6. Step 6: Final answer
    x = 413.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.