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Finding the Fourth Proportional to 452.16, 678.06 and 384.12

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Solution

The fourth proportional to 452.16, 678.06 and 384.12 is: 576.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 678.06 = 384.12 : x
  2. Step 2: Convert to fraction form
    452.16/678.06 = 384.12/x
  3. Step 3: Cross multiply
    452.16x = 678.06 × 384.12
  4. Step 4: Simplify right side
    452.16x = 260,456.41
  5. Step 5: Solve for x
    x = 260,456.41/452.16
  6. Step 6: Final answer
    x = 576.03

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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.