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Finding the Fourth Proportional to 459.29, 633.89 and 284.69

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Solution

The fourth proportional to 459.29, 633.89 and 284.69 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.29 : 633.89 = 284.69 : x
  2. Step 2: Convert to fraction form
    459.29/633.89 = 284.69/x
  3. Step 3: Cross multiply
    459.29x = 633.89 × 284.69
  4. Step 4: Simplify right side
    459.29x = 180,460.72
  5. Step 5: Solve for x
    x = 180,460.72/459.29
  6. Step 6: Final answer
    x = 392.91

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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.