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Finding the Fourth Proportional to 468.96, 701.86 and 405.60

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Solution

The fourth proportional to 468.96, 701.86 and 405.60 is: 607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 701.86 = 405.60 : x
  2. Step 2: Convert to fraction form
    468.96/701.86 = 405.60/x
  3. Step 3: Cross multiply
    468.96x = 701.86 × 405.60
  4. Step 4: Simplify right side
    468.96x = 284,674.42
  5. Step 5: Solve for x
    x = 284,674.42/468.96
  6. Step 6: Final answer
    x = 607.03

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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.