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Finding the Fourth Proportional to 548.61, 818.40 and 509.32

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Solution

The fourth proportional to 548.61, 818.40 and 509.32 is: 759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.61 : 818.40 = 509.32 : x
  2. Step 2: Convert to fraction form
    548.61/818.40 = 509.32/x
  3. Step 3: Cross multiply
    548.61x = 818.40 × 509.32
  4. Step 4: Simplify right side
    548.61x = 416,827.49
  5. Step 5: Solve for x
    x = 416,827.49/548.61
  6. Step 6: Final answer
    x = 759.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.