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Finding the Fourth Proportional to 570.42, 855.66 and 205.11

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Solution

The fourth proportional to 570.42, 855.66 and 205.11 is: 307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 855.66 = 205.11 : x
  2. Step 2: Convert to fraction form
    570.42/855.66 = 205.11/x
  3. Step 3: Cross multiply
    570.42x = 855.66 × 205.11
  4. Step 4: Simplify right side
    570.42x = 175,502.79
  5. Step 5: Solve for x
    x = 175,502.79/570.42
  6. Step 6: Final answer
    x = 307.67

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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.