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Finding the Fourth Proportional to 683.34, 1,024.47 and 312.99

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Solution

The fourth proportional to 683.34, 1,024.47 and 312.99 is: 469.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 1,024.47 = 312.99 : x
  2. Step 2: Convert to fraction form
    683.34/1,024.47 = 312.99/x
  3. Step 3: Cross multiply
    683.34x = 1,024.47 × 312.99
  4. Step 4: Simplify right side
    683.34x = 320,648.87
  5. Step 5: Solve for x
    x = 320,648.87/683.34
  6. Step 6: Final answer
    x = 469.24

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