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Finding the Fourth Proportional to 552.37, 828.58 and 278.13

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Solution

The fourth proportional to 552.37, 828.58 and 278.13 is: 417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.37 : 828.58 = 278.13 : x
  2. Step 2: Convert to fraction form
    552.37/828.58 = 278.13/x
  3. Step 3: Cross multiply
    552.37x = 828.58 × 278.13
  4. Step 4: Simplify right side
    552.37x = 230,455.89
  5. Step 5: Solve for x
    x = 230,455.89/552.37
  6. Step 6: Final answer
    x = 417.21

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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.