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Finding the Fourth Proportional to 615.65, 923.45 and 443.75

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Solution

The fourth proportional to 615.65, 923.45 and 443.75 is: 665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.65 : 923.45 = 443.75 : x
  2. Step 2: Convert to fraction form
    615.65/923.45 = 443.75/x
  3. Step 3: Cross multiply
    615.65x = 923.45 × 443.75
  4. Step 4: Simplify right side
    615.65x = 409,774.10
  5. Step 5: Solve for x
    x = 409,774.10/615.65
  6. Step 6: Final answer
    x = 665.60

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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.