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Finding the Fourth Proportional to 646.60, 967.62 and 403.24

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Solution

The fourth proportional to 646.60, 967.62 and 403.24 is: 603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 967.62 = 403.24 : x
  2. Step 2: Convert to fraction form
    646.60/967.62 = 403.24/x
  3. Step 3: Cross multiply
    646.60x = 967.62 × 403.24
  4. Step 4: Simplify right side
    646.60x = 390,183.09
  5. Step 5: Solve for x
    x = 390,183.09/646.60
  6. Step 6: Final answer
    x = 603.44

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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.