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Finding the Fourth Proportional to 541.54, 812.64 and 253

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Solution

The fourth proportional to 541.54, 812.64 and 253 is: 379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.54 : 812.64 = 253 : x
  2. Step 2: Convert to fraction form
    541.54/812.64 = 253/x
  3. Step 3: Cross multiply
    541.54x = 812.64 × 253
  4. Step 4: Simplify right side
    541.54x = 205,597.92
  5. Step 5: Solve for x
    x = 205,597.92/541.54
  6. Step 6: Final answer
    x = 379.65

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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.