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Finding the Fourth Proportional to 478.50, 659.52 and 395.34

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Solution

The fourth proportional to 478.50, 659.52 and 395.34 is: 544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 659.52 = 395.34 : x
  2. Step 2: Convert to fraction form
    478.50/659.52 = 395.34/x
  3. Step 3: Cross multiply
    478.50x = 659.52 × 395.34
  4. Step 4: Simplify right side
    478.50x = 260,734.64
  5. Step 5: Solve for x
    x = 260,734.64/478.50
  6. Step 6: Final answer
    x = 544.90

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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.