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Finding the Fourth Proportional to 972.15, 1,458.09 and 416.51

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Solution

The fourth proportional to 972.15, 1,458.09 and 416.51 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.15 : 1,458.09 = 416.51 : x
  2. Step 2: Convert to fraction form
    972.15/1,458.09 = 416.51/x
  3. Step 3: Cross multiply
    972.15x = 1,458.09 × 416.51
  4. Step 4: Simplify right side
    972.15x = 607,306.98
  5. Step 5: Solve for x
    x = 607,306.98/972.15
  6. Step 6: Final answer
    x = 624.71

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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.