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Finding the Fourth Proportional to 459.68, 685.60 and 404.96

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Solution

The fourth proportional to 459.68, 685.60 and 404.96 is: 603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.68 : 685.60 = 404.96 : x
  2. Step 2: Convert to fraction form
    459.68/685.60 = 404.96/x
  3. Step 3: Cross multiply
    459.68x = 685.60 × 404.96
  4. Step 4: Simplify right side
    459.68x = 277,640.58
  5. Step 5: Solve for x
    x = 277,640.58/459.68
  6. Step 6: Final answer
    x = 603.99

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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.