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Finding the Fourth Proportional to 459.36, 685.92 and 435.69

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Solution

The fourth proportional to 459.36, 685.92 and 435.69 is: 650.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.36 : 685.92 = 435.69 : x
  2. Step 2: Convert to fraction form
    459.36/685.92 = 435.69/x
  3. Step 3: Cross multiply
    459.36x = 685.92 × 435.69
  4. Step 4: Simplify right side
    459.36x = 298,848.48
  5. Step 5: Solve for x
    x = 298,848.48/459.36
  6. Step 6: Final answer
    x = 650.58

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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.