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Finding the Fourth Proportional to 685.88, 945.74 and 436.88

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Solution

The fourth proportional to 685.88, 945.74 and 436.88 is: 602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 945.74 = 436.88 : x
  2. Step 2: Convert to fraction form
    685.88/945.74 = 436.88/x
  3. Step 3: Cross multiply
    685.88x = 945.74 × 436.88
  4. Step 4: Simplify right side
    685.88x = 413,174.89
  5. Step 5: Solve for x
    x = 413,174.89/685.88
  6. Step 6: Final answer
    x = 602.40

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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.