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Finding the Fourth Proportional to 615.70, 923.55 and 324.10

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Solution

The fourth proportional to 615.70, 923.55 and 324.10 is: 486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.70 : 923.55 = 324.10 : x
  2. Step 2: Convert to fraction form
    615.70/923.55 = 324.10/x
  3. Step 3: Cross multiply
    615.70x = 923.55 × 324.10
  4. Step 4: Simplify right side
    615.70x = 299,322.56
  5. Step 5: Solve for x
    x = 299,322.56/615.70
  6. Step 6: Final answer
    x = 486.15

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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.