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Finding the Fourth Proportional to 295.29, 407.63 and 212.81

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Solution

The fourth proportional to 295.29, 407.63 and 212.81 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.29 : 407.63 = 212.81 : x
  2. Step 2: Convert to fraction form
    295.29/407.63 = 212.81/x
  3. Step 3: Cross multiply
    295.29x = 407.63 × 212.81
  4. Step 4: Simplify right side
    295.29x = 86,746.23
  5. Step 5: Solve for x
    x = 86,746.23/295.29
  6. Step 6: Final answer
    x = 293.77

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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.