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Finding the Fourth Proportional to 459.07, 633.58 and 282.13

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Solution

The fourth proportional to 459.07, 633.58 and 282.13 is: 389.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.07 : 633.58 = 282.13 : x
  2. Step 2: Convert to fraction form
    459.07/633.58 = 282.13/x
  3. Step 3: Cross multiply
    459.07x = 633.58 × 282.13
  4. Step 4: Simplify right side
    459.07x = 178,749.64
  5. Step 5: Solve for x
    x = 178,749.64/459.07
  6. Step 6: Final answer
    x = 389.38

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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.