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Finding the Fourth Proportional to 970.32, 1,455.54 and 321.24

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Solution

The fourth proportional to 970.32, 1,455.54 and 321.24 is: 481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.32 : 1,455.54 = 321.24 : x
  2. Step 2: Convert to fraction form
    970.32/1,455.54 = 321.24/x
  3. Step 3: Cross multiply
    970.32x = 1,455.54 × 321.24
  4. Step 4: Simplify right side
    970.32x = 467,577.67
  5. Step 5: Solve for x
    x = 467,577.67/970.32
  6. Step 6: Final answer
    x = 481.88

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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.