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Finding the Fourth Proportional to 570.84, 788.12 and 361.09

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Solution

The fourth proportional to 570.84, 788.12 and 361.09 is: 498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 788.12 = 361.09 : x
  2. Step 2: Convert to fraction form
    570.84/788.12 = 361.09/x
  3. Step 3: Cross multiply
    570.84x = 788.12 × 361.09
  4. Step 4: Simplify right side
    570.84x = 284,582.25
  5. Step 5: Solve for x
    x = 284,582.25/570.84
  6. Step 6: Final answer
    x = 498.53

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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.