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Finding the Fourth Proportional to 646.34, 967.10 and 386.48

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Solution

The fourth proportional to 646.34, 967.10 and 386.48 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 967.10 = 386.48 : x
  2. Step 2: Convert to fraction form
    646.34/967.10 = 386.48/x
  3. Step 3: Cross multiply
    646.34x = 967.10 × 386.48
  4. Step 4: Simplify right side
    646.34x = 373,765.29
  5. Step 5: Solve for x
    x = 373,765.29/646.34
  6. Step 6: Final answer
    x = 578.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.