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Finding the Fourth Proportional to 970.24, 1,454.53 and 422

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Solution

The fourth proportional to 970.24, 1,454.53 and 422 is: 632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.24 : 1,454.53 = 422 : x
  2. Step 2: Convert to fraction form
    970.24/1,454.53 = 422/x
  3. Step 3: Cross multiply
    970.24x = 1,454.53 × 422
  4. Step 4: Simplify right side
    970.24x = 613,809.55
  5. Step 5: Solve for x
    x = 613,809.55/970.24
  6. Step 6: Final answer
    x = 632.64

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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.