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Finding the Fourth Proportional to 429.19, 592.53 and 305.11

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Solution

The fourth proportional to 429.19, 592.53 and 305.11 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.19 : 592.53 = 305.11 : x
  2. Step 2: Convert to fraction form
    429.19/592.53 = 305.11/x
  3. Step 3: Cross multiply
    429.19x = 592.53 × 305.11
  4. Step 4: Simplify right side
    429.19x = 180,786.83
  5. Step 5: Solve for x
    x = 180,786.83/429.19
  6. Step 6: Final answer
    x = 421.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.