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Finding the Fourth Proportional to 557.54, 769.53 and 361.10

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Solution

The fourth proportional to 557.54, 769.53 and 361.10 is: 498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.54 : 769.53 = 361.10 : x
  2. Step 2: Convert to fraction form
    557.54/769.53 = 361.10/x
  3. Step 3: Cross multiply
    557.54x = 769.53 × 361.10
  4. Step 4: Simplify right side
    557.54x = 277,877.28
  5. Step 5: Solve for x
    x = 277,877.28/557.54
  6. Step 6: Final answer
    x = 498.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.