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Finding the Fourth Proportional to 455.84, 684.48 and 404.96

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Solution

The fourth proportional to 455.84, 684.48 and 404.96 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.84 : 684.48 = 404.96 : x
  2. Step 2: Convert to fraction form
    455.84/684.48 = 404.96/x
  3. Step 3: Cross multiply
    455.84x = 684.48 × 404.96
  4. Step 4: Simplify right side
    455.84x = 277,187.02
  5. Step 5: Solve for x
    x = 277,187.02/455.84
  6. Step 6: Final answer
    x = 608.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.