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Finding the Fourth Proportional to 486.93, 729.56 and 314.00

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Solution

The fourth proportional to 486.93, 729.56 and 314.00 is: 470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.93 : 729.56 = 314.00 : x
  2. Step 2: Convert to fraction form
    486.93/729.56 = 314.00/x
  3. Step 3: Cross multiply
    486.93x = 729.56 × 314.00
  4. Step 4: Simplify right side
    486.93x = 229,076.62
  5. Step 5: Solve for x
    x = 229,076.62/486.93
  6. Step 6: Final answer
    x = 470.45

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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.