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Finding the Fourth Proportional to 455.16, 681.78 and 444.28

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Solution

The fourth proportional to 455.16, 681.78 and 444.28 is: 665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.16 : 681.78 = 444.28 : x
  2. Step 2: Convert to fraction form
    455.16/681.78 = 444.28/x
  3. Step 3: Cross multiply
    455.16x = 681.78 × 444.28
  4. Step 4: Simplify right side
    455.16x = 302,901.22
  5. Step 5: Solve for x
    x = 302,901.22/455.16
  6. Step 6: Final answer
    x = 665.48

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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.