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Finding the Fourth Proportional to 570.86, 787.91 and 338.02

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Solution

The fourth proportional to 570.86, 787.91 and 338.02 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 787.91 = 338.02 : x
  2. Step 2: Convert to fraction form
    570.86/787.91 = 338.02/x
  3. Step 3: Cross multiply
    570.86x = 787.91 × 338.02
  4. Step 4: Simplify right side
    570.86x = 266,329.34
  5. Step 5: Solve for x
    x = 266,329.34/570.86
  6. Step 6: Final answer
    x = 466.54

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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.