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Finding the Fourth Proportional to 468.22, 700.91 and 376.15

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Solution

The fourth proportional to 468.22, 700.91 and 376.15 is: 563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 700.91 = 376.15 : x
  2. Step 2: Convert to fraction form
    468.22/700.91 = 376.15/x
  3. Step 3: Cross multiply
    468.22x = 700.91 × 376.15
  4. Step 4: Simplify right side
    468.22x = 263,647.30
  5. Step 5: Solve for x
    x = 263,647.30/468.22
  6. Step 6: Final answer
    x = 563.08

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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.