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Finding the Fourth Proportional to 570.59, 787.41 and 308.60

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Solution

The fourth proportional to 570.59, 787.41 and 308.60 is: 425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.59 : 787.41 = 308.60 : x
  2. Step 2: Convert to fraction form
    570.59/787.41 = 308.60/x
  3. Step 3: Cross multiply
    570.59x = 787.41 × 308.60
  4. Step 4: Simplify right side
    570.59x = 242,993.18
  5. Step 5: Solve for x
    x = 242,993.18/570.59
  6. Step 6: Final answer
    x = 425.87

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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.