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Finding the Fourth Proportional to 380.03, 569.84 and 174.51

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Solution

The fourth proportional to 380.03, 569.84 and 174.51 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.03 : 569.84 = 174.51 : x
  2. Step 2: Convert to fraction form
    380.03/569.84 = 174.51/x
  3. Step 3: Cross multiply
    380.03x = 569.84 × 174.51
  4. Step 4: Simplify right side
    380.03x = 99,441.91
  5. Step 5: Solve for x
    x = 99,441.91/380.03
  6. Step 6: Final answer
    x = 261.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.