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Finding the Fourth Proportional to 380.38, 569.01 and 322.66

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Solution

The fourth proportional to 380.38, 569.01 and 322.66 is: 482.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.38 : 569.01 = 322.66 : x
  2. Step 2: Convert to fraction form
    380.38/569.01 = 322.66/x
  3. Step 3: Cross multiply
    380.38x = 569.01 × 322.66
  4. Step 4: Simplify right side
    380.38x = 183,596.77
  5. Step 5: Solve for x
    x = 183,596.77/380.38
  6. Step 6: Final answer
    x = 482.67

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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.