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Finding the Fourth Proportional to 646.16, 891.24 and 558.68

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Solution

The fourth proportional to 646.16, 891.24 and 558.68 is: 770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 891.24 = 558.68 : x
  2. Step 2: Convert to fraction form
    646.16/891.24 = 558.68/x
  3. Step 3: Cross multiply
    646.16x = 891.24 × 558.68
  4. Step 4: Simplify right side
    646.16x = 497,917.96
  5. Step 5: Solve for x
    x = 497,917.96/646.16
  6. Step 6: Final answer
    x = 770.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.