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Finding the Fourth Proportional to 459.54, 687.60 and 283.22

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Solution

The fourth proportional to 459.54, 687.60 and 283.22 is: 423.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 687.60 = 283.22 : x
  2. Step 2: Convert to fraction form
    459.54/687.60 = 283.22/x
  3. Step 3: Cross multiply
    459.54x = 687.60 × 283.22
  4. Step 4: Simplify right side
    459.54x = 194,738.63
  5. Step 5: Solve for x
    x = 194,738.63/459.54
  6. Step 6: Final answer
    x = 423.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.