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Finding the Fourth Proportional to 595.48, 893.22 and 321.70

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Solution

The fourth proportional to 595.48, 893.22 and 321.70 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.48 : 893.22 = 321.70 : x
  2. Step 2: Convert to fraction form
    595.48/893.22 = 321.70/x
  3. Step 3: Cross multiply
    595.48x = 893.22 × 321.70
  4. Step 4: Simplify right side
    595.48x = 287,348.87
  5. Step 5: Solve for x
    x = 287,348.87/595.48
  6. Step 6: Final answer
    x = 482.55

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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.