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Finding the Fourth Proportional to 455.61, 683.16 and 309.51

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Solution

The fourth proportional to 455.61, 683.16 and 309.51 is: 464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.61 : 683.16 = 309.51 : x
  2. Step 2: Convert to fraction form
    455.61/683.16 = 309.51/x
  3. Step 3: Cross multiply
    455.61x = 683.16 × 309.51
  4. Step 4: Simplify right side
    455.61x = 211,444.85
  5. Step 5: Solve for x
    x = 211,444.85/455.61
  6. Step 6: Final answer
    x = 464.09

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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.