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Finding the Fourth Proportional to 570.19, 855.45 and 277.67

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Solution

The fourth proportional to 570.19, 855.45 and 277.67 is: 416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.19 : 855.45 = 277.67 : x
  2. Step 2: Convert to fraction form
    570.19/855.45 = 277.67/x
  3. Step 3: Cross multiply
    570.19x = 855.45 × 277.67
  4. Step 4: Simplify right side
    570.19x = 237,532.80
  5. Step 5: Solve for x
    x = 237,532.80/570.19
  6. Step 6: Final answer
    x = 416.59

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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.