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Finding the Fourth Proportional to 384.21, 529.73 and 305.34

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Solution

The fourth proportional to 384.21, 529.73 and 305.34 is: 420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.21 : 529.73 = 305.34 : x
  2. Step 2: Convert to fraction form
    384.21/529.73 = 305.34/x
  3. Step 3: Cross multiply
    384.21x = 529.73 × 305.34
  4. Step 4: Simplify right side
    384.21x = 161,746.23
  5. Step 5: Solve for x
    x = 161,746.23/384.21
  6. Step 6: Final answer
    x = 420.98

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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.