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Finding the Fourth Proportional to 506.88, 700.38 and 419.40

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Solution

The fourth proportional to 506.88, 700.38 and 419.40 is: 579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 700.38 = 419.40 : x
  2. Step 2: Convert to fraction form
    506.88/700.38 = 419.40/x
  3. Step 3: Cross multiply
    506.88x = 700.38 × 419.40
  4. Step 4: Simplify right side
    506.88x = 293,739.37
  5. Step 5: Solve for x
    x = 293,739.37/506.88
  6. Step 6: Final answer
    x = 579.50

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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.