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Finding the Fourth Proportional to 614.64, 847.80 and 459.12

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Solution

The fourth proportional to 614.64, 847.80 and 459.12 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 847.80 = 459.12 : x
  2. Step 2: Convert to fraction form
    614.64/847.80 = 459.12/x
  3. Step 3: Cross multiply
    614.64x = 847.80 × 459.12
  4. Step 4: Simplify right side
    614.64x = 389,241.94
  5. Step 5: Solve for x
    x = 389,241.94/614.64
  6. Step 6: Final answer
    x = 633.28

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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.