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Finding the Fourth Proportional to 972.29, 1,457.46 and 387.09

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Solution

The fourth proportional to 972.29, 1,457.46 and 387.09 is: 580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.29 : 1,457.46 = 387.09 : x
  2. Step 2: Convert to fraction form
    972.29/1,457.46 = 387.09/x
  3. Step 3: Cross multiply
    972.29x = 1,457.46 × 387.09
  4. Step 4: Simplify right side
    972.29x = 564,168.19
  5. Step 5: Solve for x
    x = 564,168.19/972.29
  6. Step 6: Final answer
    x = 580.25

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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.