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Finding the Fourth Proportional to 495.47, 684.44 and 451.14

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Solution

The fourth proportional to 495.47, 684.44 and 451.14 is: 623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.47 : 684.44 = 451.14 : x
  2. Step 2: Convert to fraction form
    495.47/684.44 = 451.14/x
  3. Step 3: Cross multiply
    495.47x = 684.44 × 451.14
  4. Step 4: Simplify right side
    495.47x = 308,776.01
  5. Step 5: Solve for x
    x = 308,776.01/495.47
  6. Step 6: Final answer
    x = 623.20

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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.