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Finding the Fourth Proportional to 295.08, 442.75 and 290.22

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Solution

The fourth proportional to 295.08, 442.75 and 290.22 is: 435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.08 : 442.75 = 290.22 : x
  2. Step 2: Convert to fraction form
    295.08/442.75 = 290.22/x
  3. Step 3: Cross multiply
    295.08x = 442.75 × 290.22
  4. Step 4: Simplify right side
    295.08x = 128,494.91
  5. Step 5: Solve for x
    x = 128,494.91/295.08
  6. Step 6: Final answer
    x = 435.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.