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Finding the Fourth Proportional to 570.47, 855.16 and 205.05

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Solution

The fourth proportional to 570.47, 855.16 and 205.05 is: 307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.47 : 855.16 = 205.05 : x
  2. Step 2: Convert to fraction form
    570.47/855.16 = 205.05/x
  3. Step 3: Cross multiply
    570.47x = 855.16 × 205.05
  4. Step 4: Simplify right side
    570.47x = 175,353.25
  5. Step 5: Solve for x
    x = 175,353.25/570.47
  6. Step 6: Final answer
    x = 307.39

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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.