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Finding the Fourth Proportional to 397.63, 591.78 and 383.05

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Solution

The fourth proportional to 397.63, 591.78 and 383.05 is: 570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.63 : 591.78 = 383.05 : x
  2. Step 2: Convert to fraction form
    397.63/591.78 = 383.05/x
  3. Step 3: Cross multiply
    397.63x = 591.78 × 383.05
  4. Step 4: Simplify right side
    397.63x = 226,681.33
  5. Step 5: Solve for x
    x = 226,681.33/397.63
  6. Step 6: Final answer
    x = 570.08

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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.