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Finding the Fourth Proportional to 536.95, 804.95 and 212.07

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Solution

The fourth proportional to 536.95, 804.95 and 212.07 is: 317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.95 : 804.95 = 212.07 : x
  2. Step 2: Convert to fraction form
    536.95/804.95 = 212.07/x
  3. Step 3: Cross multiply
    536.95x = 804.95 × 212.07
  4. Step 4: Simplify right side
    536.95x = 170,705.75
  5. Step 5: Solve for x
    x = 170,705.75/536.95
  6. Step 6: Final answer
    x = 317.92

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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.