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Finding the Fourth Proportional to 972.23, 1,458.62 and 314.09

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Solution

The fourth proportional to 972.23, 1,458.62 and 314.09 is: 471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.23 : 1,458.62 = 314.09 : x
  2. Step 2: Convert to fraction form
    972.23/1,458.62 = 314.09/x
  3. Step 3: Cross multiply
    972.23x = 1,458.62 × 314.09
  4. Step 4: Simplify right side
    972.23x = 458,130.66
  5. Step 5: Solve for x
    x = 458,130.66/972.23
  6. Step 6: Final answer
    x = 471.22

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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.