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Finding the Fourth Proportional to 549.94, 828.78 and 459.50

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Solution

The fourth proportional to 549.94, 828.78 and 459.50 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.94 : 828.78 = 459.50 : x
  2. Step 2: Convert to fraction form
    549.94/828.78 = 459.50/x
  3. Step 3: Cross multiply
    549.94x = 828.78 × 459.50
  4. Step 4: Simplify right side
    549.94x = 380,823.46
  5. Step 5: Solve for x
    x = 380,823.46/549.94
  6. Step 6: Final answer
    x = 692.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.