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Finding the Fourth Proportional to 384.48, 529.20 and 318.24

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Solution

The fourth proportional to 384.48, 529.20 and 318.24 is: 438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.48 : 529.20 = 318.24 : x
  2. Step 2: Convert to fraction form
    384.48/529.20 = 318.24/x
  3. Step 3: Cross multiply
    384.48x = 529.20 × 318.24
  4. Step 4: Simplify right side
    384.48x = 168,412.61
  5. Step 5: Solve for x
    x = 168,412.61/384.48
  6. Step 6: Final answer
    x = 438.03

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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.