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Finding the Fourth Proportional to 384.16, 575.28 and 303.44

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Solution

The fourth proportional to 384.16, 575.28 and 303.44 is: 454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.16 : 575.28 = 303.44 : x
  2. Step 2: Convert to fraction form
    384.16/575.28 = 303.44/x
  3. Step 3: Cross multiply
    384.16x = 575.28 × 303.44
  4. Step 4: Simplify right side
    384.16x = 174,562.96
  5. Step 5: Solve for x
    x = 174,562.96/384.16
  6. Step 6: Final answer
    x = 454.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.