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Finding the Fourth Proportional to 683.47, 1,025.51 and 358.77

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Solution

The fourth proportional to 683.47, 1,025.51 and 358.77 is: 538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.47 : 1,025.51 = 358.77 : x
  2. Step 2: Convert to fraction form
    683.47/1,025.51 = 358.77/x
  3. Step 3: Cross multiply
    683.47x = 1,025.51 × 358.77
  4. Step 4: Simplify right side
    683.47x = 367,917.10
  5. Step 5: Solve for x
    x = 367,917.10/683.47
  6. Step 6: Final answer
    x = 538.31

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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.