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Finding the Fourth Proportional to 459.17, 633.62 and 282.05

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Solution

The fourth proportional to 459.17, 633.62 and 282.05 is: 389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.17 : 633.62 = 282.05 : x
  2. Step 2: Convert to fraction form
    459.17/633.62 = 282.05/x
  3. Step 3: Cross multiply
    459.17x = 633.62 × 282.05
  4. Step 4: Simplify right side
    459.17x = 178,707.94
  5. Step 5: Solve for x
    x = 178,707.94/459.17
  6. Step 6: Final answer
    x = 389.20

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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.