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Finding the Fourth Proportional to 615.42, 923.44 and 384.25

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Solution

The fourth proportional to 615.42, 923.44 and 384.25 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.42 : 923.44 = 384.25 : x
  2. Step 2: Convert to fraction form
    615.42/923.44 = 384.25/x
  3. Step 3: Cross multiply
    615.42x = 923.44 × 384.25
  4. Step 4: Simplify right side
    615.42x = 354,831.82
  5. Step 5: Solve for x
    x = 354,831.82/615.42
  6. Step 6: Final answer
    x = 576.57

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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.