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Finding the Fourth Proportional to 440.40, 607.52 and 300.53

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Solution

The fourth proportional to 440.40, 607.52 and 300.53 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.40 : 607.52 = 300.53 : x
  2. Step 2: Convert to fraction form
    440.40/607.52 = 300.53/x
  3. Step 3: Cross multiply
    440.40x = 607.52 × 300.53
  4. Step 4: Simplify right side
    440.40x = 182,573.45
  5. Step 5: Solve for x
    x = 182,573.45/440.40
  6. Step 6: Final answer
    x = 414.56

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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.