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Finding the Fourth Proportional to 684.79, 945 and 405.03

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Solution

The fourth proportional to 684.79, 945 and 405.03 is: 558.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.79 : 945 = 405.03 : x
  2. Step 2: Convert to fraction form
    684.79/945 = 405.03/x
  3. Step 3: Cross multiply
    684.79x = 945 × 405.03
  4. Step 4: Simplify right side
    684.79x = 382,753.35
  5. Step 5: Solve for x
    x = 382,753.35/684.79
  6. Step 6: Final answer
    x = 558.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.