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Finding the Fourth Proportional to 970.25, 1,455.37 and 385.22

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Solution

The fourth proportional to 970.25, 1,455.37 and 385.22 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.25 : 1,455.37 = 385.22 : x
  2. Step 2: Convert to fraction form
    970.25/1,455.37 = 385.22/x
  3. Step 3: Cross multiply
    970.25x = 1,455.37 × 385.22
  4. Step 4: Simplify right side
    970.25x = 560,640.31
  5. Step 5: Solve for x
    x = 560,640.31/970.25
  6. Step 6: Final answer
    x = 577.83

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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.