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Finding the Fourth Proportional to 468.81, 703.73 and 396.58

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Solution

The fourth proportional to 468.81, 703.73 and 396.58 is: 595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.81 : 703.73 = 396.58 : x
  2. Step 2: Convert to fraction form
    468.81/703.73 = 396.58/x
  3. Step 3: Cross multiply
    468.81x = 703.73 × 396.58
  4. Step 4: Simplify right side
    468.81x = 279,085.24
  5. Step 5: Solve for x
    x = 279,085.24/468.81
  6. Step 6: Final answer
    x = 595.31

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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.