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Finding the Fourth Proportional to 570.73, 855.18 and 339.07

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Solution

The fourth proportional to 570.73, 855.18 and 339.07 is: 508.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.73 : 855.18 = 339.07 : x
  2. Step 2: Convert to fraction form
    570.73/855.18 = 339.07/x
  3. Step 3: Cross multiply
    570.73x = 855.18 × 339.07
  4. Step 4: Simplify right side
    570.73x = 289,963.74
  5. Step 5: Solve for x
    x = 289,963.74/570.73
  6. Step 6: Final answer
    x = 508.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.