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Finding the Fourth Proportional to 459.34, 633.60 and 284.50

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Solution

The fourth proportional to 459.34, 633.60 and 284.50 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.34 : 633.60 = 284.50 : x
  2. Step 2: Convert to fraction form
    459.34/633.60 = 284.50/x
  3. Step 3: Cross multiply
    459.34x = 633.60 × 284.50
  4. Step 4: Simplify right side
    459.34x = 180,259.20
  5. Step 5: Solve for x
    x = 180,259.20/459.34
  6. Step 6: Final answer
    x = 392.43

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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.