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Finding the Fourth Proportional to 460.18, 685.48 and 435.34

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Solution

The fourth proportional to 460.18, 685.48 and 435.34 is: 648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.18 : 685.48 = 435.34 : x
  2. Step 2: Convert to fraction form
    460.18/685.48 = 435.34/x
  3. Step 3: Cross multiply
    460.18x = 685.48 × 435.34
  4. Step 4: Simplify right side
    460.18x = 298,416.86
  5. Step 5: Solve for x
    x = 298,416.86/460.18
  6. Step 6: Final answer
    x = 648.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.