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Finding the Fourth Proportional to 523.18, 783.70 and 419.90

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Solution

The fourth proportional to 523.18, 783.70 and 419.90 is: 629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.18 : 783.70 = 419.90 : x
  2. Step 2: Convert to fraction form
    523.18/783.70 = 419.90/x
  3. Step 3: Cross multiply
    523.18x = 783.70 × 419.90
  4. Step 4: Simplify right side
    523.18x = 329,076.54
  5. Step 5: Solve for x
    x = 329,076.54/523.18
  6. Step 6: Final answer
    x = 629.00

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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.