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Finding the Fourth Proportional to 459.19, 633.72 and 284.50

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Solution

The fourth proportional to 459.19, 633.72 and 284.50 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.19 : 633.72 = 284.50 : x
  2. Step 2: Convert to fraction form
    459.19/633.72 = 284.50/x
  3. Step 3: Cross multiply
    459.19x = 633.72 × 284.50
  4. Step 4: Simplify right side
    459.19x = 180,293.34
  5. Step 5: Solve for x
    x = 180,293.34/459.19
  6. Step 6: Final answer
    x = 392.63

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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.