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Finding the Fourth Proportional to 646.19, 891.76 and 362.64

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Solution

The fourth proportional to 646.19, 891.76 and 362.64 is: 500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.19 : 891.76 = 362.64 : x
  2. Step 2: Convert to fraction form
    646.19/891.76 = 362.64/x
  3. Step 3: Cross multiply
    646.19x = 891.76 × 362.64
  4. Step 4: Simplify right side
    646.19x = 323,387.85
  5. Step 5: Solve for x
    x = 323,387.85/646.19
  6. Step 6: Final answer
    x = 500.45

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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.