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Finding the Fourth Proportional to 595.71, 893.67 and 205.76

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Solution

The fourth proportional to 595.71, 893.67 and 205.76 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.71 : 893.67 = 205.76 : x
  2. Step 2: Convert to fraction form
    595.71/893.67 = 205.76/x
  3. Step 3: Cross multiply
    595.71x = 893.67 × 205.76
  4. Step 4: Simplify right side
    595.71x = 183,877.07
  5. Step 5: Solve for x
    x = 183,877.07/595.71
  6. Step 6: Final answer
    x = 308.67

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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.