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Finding the Fourth Proportional to 570.64, 787.56 and 349.55

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Solution

The fourth proportional to 570.64, 787.56 and 349.55 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.64 : 787.56 = 349.55 : x
  2. Step 2: Convert to fraction form
    570.64/787.56 = 349.55/x
  3. Step 3: Cross multiply
    570.64x = 787.56 × 349.55
  4. Step 4: Simplify right side
    570.64x = 275,291.60
  5. Step 5: Solve for x
    x = 275,291.60/570.64
  6. Step 6: Final answer
    x = 482.43

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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.