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Finding the Fourth Proportional to 570.89, 787.69 and 338.02

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Solution

The fourth proportional to 570.89, 787.69 and 338.02 is: 466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.89 : 787.69 = 338.02 : x
  2. Step 2: Convert to fraction form
    570.89/787.69 = 338.02/x
  3. Step 3: Cross multiply
    570.89x = 787.69 × 338.02
  4. Step 4: Simplify right side
    570.89x = 266,254.97
  5. Step 5: Solve for x
    x = 266,254.97/570.89
  6. Step 6: Final answer
    x = 466.39

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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.