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Finding the Fourth Proportional to 546.75, 818.07 and 340.35

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Solution

The fourth proportional to 546.75, 818.07 and 340.35 is: 509.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 818.07 = 340.35 : x
  2. Step 2: Convert to fraction form
    546.75/818.07 = 340.35/x
  3. Step 3: Cross multiply
    546.75x = 818.07 × 340.35
  4. Step 4: Simplify right side
    546.75x = 278,433.25
  5. Step 5: Solve for x
    x = 278,433.25/546.75
  6. Step 6: Final answer
    x = 509.25

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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.