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Finding the Fourth Proportional to 320.63, 442.94 and 210.47

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Solution

The fourth proportional to 320.63, 442.94 and 210.47 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.63 : 442.94 = 210.47 : x
  2. Step 2: Convert to fraction form
    320.63/442.94 = 210.47/x
  3. Step 3: Cross multiply
    320.63x = 442.94 × 210.47
  4. Step 4: Simplify right side
    320.63x = 93,222.31
  5. Step 5: Solve for x
    x = 93,222.31/320.63
  6. Step 6: Final answer
    x = 290.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.