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Finding the Fourth Proportional to 420.95, 631.56 and 215.46

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Solution

The fourth proportional to 420.95, 631.56 and 215.46 is: 323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.95 : 631.56 = 215.46 : x
  2. Step 2: Convert to fraction form
    420.95/631.56 = 215.46/x
  3. Step 3: Cross multiply
    420.95x = 631.56 × 215.46
  4. Step 4: Simplify right side
    420.95x = 136,071.68
  5. Step 5: Solve for x
    x = 136,071.68/420.95
  6. Step 6: Final answer
    x = 323.25

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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.