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Finding the Fourth Proportional to 468.05, 702.54 and 382.39

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Solution

The fourth proportional to 468.05, 702.54 and 382.39 is: 573.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.05 : 702.54 = 382.39 : x
  2. Step 2: Convert to fraction form
    468.05/702.54 = 382.39/x
  3. Step 3: Cross multiply
    468.05x = 702.54 × 382.39
  4. Step 4: Simplify right side
    468.05x = 268,642.51
  5. Step 5: Solve for x
    x = 268,642.51/468.05
  6. Step 6: Final answer
    x = 573.97

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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.