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Finding the Fourth Proportional to 455.70, 683.30 and 224.08

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Solution

The fourth proportional to 455.70, 683.30 and 224.08 is: 336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.70 : 683.30 = 224.08 : x
  2. Step 2: Convert to fraction form
    455.70/683.30 = 224.08/x
  3. Step 3: Cross multiply
    455.70x = 683.30 × 224.08
  4. Step 4: Simplify right side
    455.70x = 153,113.86
  5. Step 5: Solve for x
    x = 153,113.86/455.70
  6. Step 6: Final answer
    x = 336.00

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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.