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Finding the Fourth Proportional to 412.80, 616.18 and 384.32

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Solution

The fourth proportional to 412.80, 616.18 and 384.32 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 616.18 = 384.32 : x
  2. Step 2: Convert to fraction form
    412.80/616.18 = 384.32/x
  3. Step 3: Cross multiply
    412.80x = 616.18 × 384.32
  4. Step 4: Simplify right side
    412.80x = 236,810.30
  5. Step 5: Solve for x
    x = 236,810.30/412.80
  6. Step 6: Final answer
    x = 573.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.