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Finding the Fourth Proportional to 458.36, 685.64 and 347.84

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Solution

The fourth proportional to 458.36, 685.64 and 347.84 is: 520.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.36 : 685.64 = 347.84 : x
  2. Step 2: Convert to fraction form
    458.36/685.64 = 347.84/x
  3. Step 3: Cross multiply
    458.36x = 685.64 × 347.84
  4. Step 4: Simplify right side
    458.36x = 238,493.02
  5. Step 5: Solve for x
    x = 238,493.02/458.36
  6. Step 6: Final answer
    x = 520.32

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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.