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Finding the Fourth Proportional to 570.17, 787.25 and 349.42

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Solution

The fourth proportional to 570.17, 787.25 and 349.42 is: 482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.17 : 787.25 = 349.42 : x
  2. Step 2: Convert to fraction form
    570.17/787.25 = 349.42/x
  3. Step 3: Cross multiply
    570.17x = 787.25 × 349.42
  4. Step 4: Simplify right side
    570.17x = 275,080.90
  5. Step 5: Solve for x
    x = 275,080.90/570.17
  6. Step 6: Final answer
    x = 482.45

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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.