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Finding the Fourth Proportional to 972.36, 1,458.24 and 423.99

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Solution

The fourth proportional to 972.36, 1,458.24 and 423.99 is: 635.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.36 : 1,458.24 = 423.99 : x
  2. Step 2: Convert to fraction form
    972.36/1,458.24 = 423.99/x
  3. Step 3: Cross multiply
    972.36x = 1,458.24 × 423.99
  4. Step 4: Simplify right side
    972.36x = 618,277.59
  5. Step 5: Solve for x
    x = 618,277.59/972.36
  6. Step 6: Final answer
    x = 635.85

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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.