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Finding the Fourth Proportional to 384.11, 529.67 and 313.64

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Solution

The fourth proportional to 384.11, 529.67 and 313.64 is: 432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.11 : 529.67 = 313.64 : x
  2. Step 2: Convert to fraction form
    384.11/529.67 = 313.64/x
  3. Step 3: Cross multiply
    384.11x = 529.67 × 313.64
  4. Step 4: Simplify right side
    384.11x = 166,124.13
  5. Step 5: Solve for x
    x = 166,124.13/384.11
  6. Step 6: Final answer
    x = 432.49

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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.