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Finding the Fourth Proportional to 646.16, 891.30 and 538.09

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Solution

The fourth proportional to 646.16, 891.30 and 538.09 is: 742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 891.30 = 538.09 : x
  2. Step 2: Convert to fraction form
    646.16/891.30 = 538.09/x
  3. Step 3: Cross multiply
    646.16x = 891.30 × 538.09
  4. Step 4: Simplify right side
    646.16x = 479,598.05
  5. Step 5: Solve for x
    x = 479,598.05/646.16
  6. Step 6: Final answer
    x = 742.23

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Why These Related Problems?

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