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Finding the Fourth Proportional to 970.20, 1,454.63 and 385.29

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Solution

The fourth proportional to 970.20, 1,454.63 and 385.29 is: 577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.20 : 1,454.63 = 385.29 : x
  2. Step 2: Convert to fraction form
    970.20/1,454.63 = 385.29/x
  3. Step 3: Cross multiply
    970.20x = 1,454.63 × 385.29
  4. Step 4: Simplify right side
    970.20x = 560,452.47
  5. Step 5: Solve for x
    x = 560,452.47/970.20
  6. Step 6: Final answer
    x = 577.67

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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.