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Finding the Fourth Proportional to 646.90, 970.04 and 354.31

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Solution

The fourth proportional to 646.90, 970.04 and 354.31 is: 531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.90 : 970.04 = 354.31 : x
  2. Step 2: Convert to fraction form
    646.90/970.04 = 354.31/x
  3. Step 3: Cross multiply
    646.90x = 970.04 × 354.31
  4. Step 4: Simplify right side
    646.90x = 343,693.33
  5. Step 5: Solve for x
    x = 343,693.33/646.90
  6. Step 6: Final answer
    x = 531.29

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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.