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Finding the Fourth Proportional to 570.51, 855.90 and 205.34

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Solution

The fourth proportional to 570.51, 855.90 and 205.34 is: 308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.51 : 855.90 = 205.34 : x
  2. Step 2: Convert to fraction form
    570.51/855.90 = 205.34/x
  3. Step 3: Cross multiply
    570.51x = 855.90 × 205.34
  4. Step 4: Simplify right side
    570.51x = 175,746.23
  5. Step 5: Solve for x
    x = 175,746.23/570.51
  6. Step 6: Final answer
    x = 308.05

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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.