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Finding the Fourth Proportional to 440.44, 607.58 and 409.17

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Solution

The fourth proportional to 440.44, 607.58 and 409.17 is: 564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.44 : 607.58 = 409.17 : x
  2. Step 2: Convert to fraction form
    440.44/607.58 = 409.17/x
  3. Step 3: Cross multiply
    440.44x = 607.58 × 409.17
  4. Step 4: Simplify right side
    440.44x = 248,603.51
  5. Step 5: Solve for x
    x = 248,603.51/440.44
  6. Step 6: Final answer
    x = 564.44

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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.