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Finding the Fourth Proportional to 476.21, 713.07 and 259.34

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Solution

The fourth proportional to 476.21, 713.07 and 259.34 is: 388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.21 : 713.07 = 259.34 : x
  2. Step 2: Convert to fraction form
    476.21/713.07 = 259.34/x
  3. Step 3: Cross multiply
    476.21x = 713.07 × 259.34
  4. Step 4: Simplify right side
    476.21x = 184,924.01
  5. Step 5: Solve for x
    x = 184,924.01/476.21
  6. Step 6: Final answer
    x = 388.32

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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.