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Finding the Fourth Proportional to 570.92, 788.08 and 361.23

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Solution

The fourth proportional to 570.92, 788.08 and 361.23 is: 498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.92 : 788.08 = 361.23 : x
  2. Step 2: Convert to fraction form
    570.92/788.08 = 361.23/x
  3. Step 3: Cross multiply
    570.92x = 788.08 × 361.23
  4. Step 4: Simplify right side
    570.92x = 284,678.14
  5. Step 5: Solve for x
    x = 284,678.14/570.92
  6. Step 6: Final answer
    x = 498.63

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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.