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Finding the Fourth Proportional to 468.16, 700.82 and 376.09

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Solution

The fourth proportional to 468.16, 700.82 and 376.09 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 700.82 = 376.09 : x
  2. Step 2: Convert to fraction form
    468.16/700.82 = 376.09/x
  3. Step 3: Cross multiply
    468.16x = 700.82 × 376.09
  4. Step 4: Simplify right side
    468.16x = 263,569.17
  5. Step 5: Solve for x
    x = 263,569.17/468.16
  6. Step 6: Final answer
    x = 562.99

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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.