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Finding the Fourth Proportional to 640.09, 954.57 and 558.28

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Solution

The fourth proportional to 640.09, 954.57 and 558.28 is: 832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.09 : 954.57 = 558.28 : x
  2. Step 2: Convert to fraction form
    640.09/954.57 = 558.28/x
  3. Step 3: Cross multiply
    640.09x = 954.57 × 558.28
  4. Step 4: Simplify right side
    640.09x = 532,917.34
  5. Step 5: Solve for x
    x = 532,917.34/640.09
  6. Step 6: Final answer
    x = 832.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.