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Finding the Fourth Proportional to 614.02, 919.80 and 353.64

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Solution

The fourth proportional to 614.02, 919.80 and 353.64 is: 529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.02 : 919.80 = 353.64 : x
  2. Step 2: Convert to fraction form
    614.02/919.80 = 353.64/x
  3. Step 3: Cross multiply
    614.02x = 919.80 × 353.64
  4. Step 4: Simplify right side
    614.02x = 325,278.07
  5. Step 5: Solve for x
    x = 325,278.07/614.02
  6. Step 6: Final answer
    x = 529.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.