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Finding the Fourth Proportional to 384.99, 531.14 and 245.07

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Solution

The fourth proportional to 384.99, 531.14 and 245.07 is: 338.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.99 : 531.14 = 245.07 : x
  2. Step 2: Convert to fraction form
    384.99/531.14 = 245.07/x
  3. Step 3: Cross multiply
    384.99x = 531.14 × 245.07
  4. Step 4: Simplify right side
    384.99x = 130,165.25
  5. Step 5: Solve for x
    x = 130,165.25/384.99
  6. Step 6: Final answer
    x = 338.10

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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.