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Finding the Fourth Proportional to 459.54, 633.42 and 420.12

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Solution

The fourth proportional to 459.54, 633.42 and 420.12 is: 579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.54 : 633.42 = 420.12 : x
  2. Step 2: Convert to fraction form
    459.54/633.42 = 420.12/x
  3. Step 3: Cross multiply
    459.54x = 633.42 × 420.12
  4. Step 4: Simplify right side
    459.54x = 266,112.41
  5. Step 5: Solve for x
    x = 266,112.41/459.54
  6. Step 6: Final answer
    x = 579.08

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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.