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Finding the Fourth Proportional to 646.60, 970.14 and 322

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Solution

The fourth proportional to 646.60, 970.14 and 322 is: 483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.60 : 970.14 = 322 : x
  2. Step 2: Convert to fraction form
    646.60/970.14 = 322/x
  3. Step 3: Cross multiply
    646.60x = 970.14 × 322
  4. Step 4: Simplify right side
    646.60x = 312,385.08
  5. Step 5: Solve for x
    x = 312,385.08/646.60
  6. Step 6: Final answer
    x = 483.12

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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.