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Finding the Fourth Proportional to 451.64, 623.14 and 285.93

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Solution

The fourth proportional to 451.64, 623.14 and 285.93 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.64 : 623.14 = 285.93 : x
  2. Step 2: Convert to fraction form
    451.64/623.14 = 285.93/x
  3. Step 3: Cross multiply
    451.64x = 623.14 × 285.93
  4. Step 4: Simplify right side
    451.64x = 178,173.71
  5. Step 5: Solve for x
    x = 178,173.71/451.64
  6. Step 6: Final answer
    x = 394.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.