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Finding the Fourth Proportional to 314.09, 470.44 and 307.86

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Solution

The fourth proportional to 314.09, 470.44 and 307.86 is: 461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.09 : 470.44 = 307.86 : x
  2. Step 2: Convert to fraction form
    314.09/470.44 = 307.86/x
  3. Step 3: Cross multiply
    314.09x = 470.44 × 307.86
  4. Step 4: Simplify right side
    314.09x = 144,828.28
  5. Step 5: Solve for x
    x = 144,828.28/314.09
  6. Step 6: Final answer
    x = 461.11

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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.