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Finding the Fourth Proportional to 972.29, 1,458.63 and 323.07

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Solution

The fourth proportional to 972.29, 1,458.63 and 323.07 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.29 : 1,458.63 = 323.07 : x
  2. Step 2: Convert to fraction form
    972.29/1,458.63 = 323.07/x
  3. Step 3: Cross multiply
    972.29x = 1,458.63 × 323.07
  4. Step 4: Simplify right side
    972.29x = 471,239.59
  5. Step 5: Solve for x
    x = 471,239.59/972.29
  6. Step 6: Final answer
    x = 484.67

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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.