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Finding the Fourth Proportional to 450.16, 619.92 and 384.64

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Solution

The fourth proportional to 450.16, 619.92 and 384.64 is: 529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.16 : 619.92 = 384.64 : x
  2. Step 2: Convert to fraction form
    450.16/619.92 = 384.64/x
  3. Step 3: Cross multiply
    450.16x = 619.92 × 384.64
  4. Step 4: Simplify right side
    450.16x = 238,446.03
  5. Step 5: Solve for x
    x = 238,446.03/450.16
  6. Step 6: Final answer
    x = 529.69

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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.