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Finding the Fourth Proportional to 626.81, 864.93 and 347.00

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Solution

The fourth proportional to 626.81, 864.93 and 347.00 is: 478.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.81 : 864.93 = 347.00 : x
  2. Step 2: Convert to fraction form
    626.81/864.93 = 347.00/x
  3. Step 3: Cross multiply
    626.81x = 864.93 × 347.00
  4. Step 4: Simplify right side
    626.81x = 300,126.39
  5. Step 5: Solve for x
    x = 300,126.39/626.81
  6. Step 6: Final answer
    x = 478.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.