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Finding the Fourth Proportional to 615.36, 923.20 and 444.16

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Solution

The fourth proportional to 615.36, 923.20 and 444.16 is: 666.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.36 : 923.20 = 444.16 : x
  2. Step 2: Convert to fraction form
    615.36/923.20 = 444.16/x
  3. Step 3: Cross multiply
    615.36x = 923.20 × 444.16
  4. Step 4: Simplify right side
    615.36x = 410,048.51
  5. Step 5: Solve for x
    x = 410,048.51/615.36
  6. Step 6: Final answer
    x = 666.36

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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.