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Finding the Fourth Proportional to 384.64, 530.95 and 268.27

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Solution

The fourth proportional to 384.64, 530.95 and 268.27 is: 370.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.64 : 530.95 = 268.27 : x
  2. Step 2: Convert to fraction form
    384.64/530.95 = 268.27/x
  3. Step 3: Cross multiply
    384.64x = 530.95 × 268.27
  4. Step 4: Simplify right side
    384.64x = 142,437.96
  5. Step 5: Solve for x
    x = 142,437.96/384.64
  6. Step 6: Final answer
    x = 370.31

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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.