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Finding the Fourth Proportional to 646.42, 970.31 and 403.11

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Solution

The fourth proportional to 646.42, 970.31 and 403.11 is: 605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.42 : 970.31 = 403.11 : x
  2. Step 2: Convert to fraction form
    646.42/970.31 = 403.11/x
  3. Step 3: Cross multiply
    646.42x = 970.31 × 403.11
  4. Step 4: Simplify right side
    646.42x = 391,139.65
  5. Step 5: Solve for x
    x = 391,139.65/646.42
  6. Step 6: Final answer
    x = 605.09

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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.