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Finding the Fourth Proportional to 570.47, 787.31 and 349.38

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Solution

The fourth proportional to 570.47, 787.31 and 349.38 is: 482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.47 : 787.31 = 349.38 : x
  2. Step 2: Convert to fraction form
    570.47/787.31 = 349.38/x
  3. Step 3: Cross multiply
    570.47x = 787.31 × 349.38
  4. Step 4: Simplify right side
    570.47x = 275,068.62
  5. Step 5: Solve for x
    x = 275,068.62/570.47
  6. Step 6: Final answer
    x = 482.18

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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.