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Finding the Fourth Proportional to 315.24, 470.22 and 304.80

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Solution

The fourth proportional to 315.24, 470.22 and 304.80 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.24 : 470.22 = 304.80 : x
  2. Step 2: Convert to fraction form
    315.24/470.22 = 304.80/x
  3. Step 3: Cross multiply
    315.24x = 470.22 × 304.80
  4. Step 4: Simplify right side
    315.24x = 143,323.06
  5. Step 5: Solve for x
    x = 143,323.06/315.24
  6. Step 6: Final answer
    x = 454.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.