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Finding the Fourth Proportional to 570.84, 787.75 and 308.85

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Solution

The fourth proportional to 570.84, 787.75 and 308.85 is: 426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 787.75 = 308.85 : x
  2. Step 2: Convert to fraction form
    570.84/787.75 = 308.85/x
  3. Step 3: Cross multiply
    570.84x = 787.75 × 308.85
  4. Step 4: Simplify right side
    570.84x = 243,295.04
  5. Step 5: Solve for x
    x = 243,295.04/570.84
  6. Step 6: Final answer
    x = 426.21

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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.