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Finding the Fourth Proportional to 545.44, 818.24 and 256.64

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Solution

The fourth proportional to 545.44, 818.24 and 256.64 is: 385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 818.24 = 256.64 : x
  2. Step 2: Convert to fraction form
    545.44/818.24 = 256.64/x
  3. Step 3: Cross multiply
    545.44x = 818.24 × 256.64
  4. Step 4: Simplify right side
    545.44x = 209,993.11
  5. Step 5: Solve for x
    x = 209,993.11/545.44
  6. Step 6: Final answer
    x = 385.00

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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.