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Finding the Fourth Proportional to 970.38, 1,454.61 and 385.03

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Solution

The fourth proportional to 970.38, 1,454.61 and 385.03 is: 577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.38 : 1,454.61 = 385.03 : x
  2. Step 2: Convert to fraction form
    970.38/1,454.61 = 385.03/x
  3. Step 3: Cross multiply
    970.38x = 1,454.61 × 385.03
  4. Step 4: Simplify right side
    970.38x = 560,065.49
  5. Step 5: Solve for x
    x = 560,065.49/970.38
  6. Step 6: Final answer
    x = 577.16

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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.