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Finding the Fourth Proportional to 557.26, 828.84 and 546.32

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Solution

The fourth proportional to 557.26, 828.84 and 546.32 is: 812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.26 : 828.84 = 546.32 : x
  2. Step 2: Convert to fraction form
    557.26/828.84 = 546.32/x
  3. Step 3: Cross multiply
    557.26x = 828.84 × 546.32
  4. Step 4: Simplify right side
    557.26x = 452,811.87
  5. Step 5: Solve for x
    x = 452,811.87/557.26
  6. Step 6: Final answer
    x = 812.57

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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.