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Finding the Fourth Proportional to 570.37, 787.25 and 349.28

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Solution

The fourth proportional to 570.37, 787.25 and 349.28 is: 482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.37 : 787.25 = 349.28 : x
  2. Step 2: Convert to fraction form
    570.37/787.25 = 349.28/x
  3. Step 3: Cross multiply
    570.37x = 787.25 × 349.28
  4. Step 4: Simplify right side
    570.37x = 274,973.52
  5. Step 5: Solve for x
    x = 274,973.52/570.37
  6. Step 6: Final answer
    x = 482.10

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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.