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Finding the Fourth Proportional to 412.93, 619.40 and 383.77

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Solution

The fourth proportional to 412.93, 619.40 and 383.77 is: 575.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.93 : 619.40 = 383.77 : x
  2. Step 2: Convert to fraction form
    412.93/619.40 = 383.77/x
  3. Step 3: Cross multiply
    412.93x = 619.40 × 383.77
  4. Step 4: Simplify right side
    412.93x = 237,705.22
  5. Step 5: Solve for x
    x = 237,705.22/412.93
  6. Step 6: Final answer
    x = 575.66

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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.