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Finding the Fourth Proportional to 570.54, 787.14 and 349.14

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Solution

The fourth proportional to 570.54, 787.14 and 349.14 is: 481.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.54 : 787.14 = 349.14 : x
  2. Step 2: Convert to fraction form
    570.54/787.14 = 349.14/x
  3. Step 3: Cross multiply
    570.54x = 787.14 × 349.14
  4. Step 4: Simplify right side
    570.54x = 274,822.06
  5. Step 5: Solve for x
    x = 274,822.06/570.54
  6. Step 6: Final answer
    x = 481.69

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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.