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Finding the Fourth Proportional to 315.39, 470.82 and 294.93

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Solution

The fourth proportional to 315.39, 470.82 and 294.93 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.39 : 470.82 = 294.93 : x
  2. Step 2: Convert to fraction form
    315.39/470.82 = 294.93/x
  3. Step 3: Cross multiply
    315.39x = 470.82 × 294.93
  4. Step 4: Simplify right side
    315.39x = 138,858.94
  5. Step 5: Solve for x
    x = 138,858.94/315.39
  6. Step 6: Final answer
    x = 440.28

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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.