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Finding the Fourth Proportional to 570.94, 787.55 and 349.67

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Solution

The fourth proportional to 570.94, 787.55 and 349.67 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.94 : 787.55 = 349.67 : x
  2. Step 2: Convert to fraction form
    570.94/787.55 = 349.67/x
  3. Step 3: Cross multiply
    570.94x = 787.55 × 349.67
  4. Step 4: Simplify right side
    570.94x = 275,382.83
  5. Step 5: Solve for x
    x = 275,382.83/570.94
  6. Step 6: Final answer
    x = 482.33

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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.