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Finding the Fourth Proportional to 596.18, 893.64 and 307.02

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Solution

The fourth proportional to 596.18, 893.64 and 307.02 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.18 : 893.64 = 307.02 : x
  2. Step 2: Convert to fraction form
    596.18/893.64 = 307.02/x
  3. Step 3: Cross multiply
    596.18x = 893.64 × 307.02
  4. Step 4: Simplify right side
    596.18x = 274,365.35
  5. Step 5: Solve for x
    x = 274,365.35/596.18
  6. Step 6: Final answer
    x = 460.21

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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.