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Finding the Fourth Proportional to 368.16, 552.88 and 304.16

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Solution

The fourth proportional to 368.16, 552.88 and 304.16 is: 456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.16 : 552.88 = 304.16 : x
  2. Step 2: Convert to fraction form
    368.16/552.88 = 304.16/x
  3. Step 3: Cross multiply
    368.16x = 552.88 × 304.16
  4. Step 4: Simplify right side
    368.16x = 168,163.98
  5. Step 5: Solve for x
    x = 168,163.98/368.16
  6. Step 6: Final answer
    x = 456.77

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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.