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Finding the Fourth Proportional to 972.08, 1,457.96 and 322.68

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Solution

The fourth proportional to 972.08, 1,457.96 and 322.68 is: 483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.08 : 1,457.96 = 322.68 : x
  2. Step 2: Convert to fraction form
    972.08/1,457.96 = 322.68/x
  3. Step 3: Cross multiply
    972.08x = 1,457.96 × 322.68
  4. Step 4: Simplify right side
    972.08x = 470,454.53
  5. Step 5: Solve for x
    x = 470,454.53/972.08
  6. Step 6: Final answer
    x = 483.97

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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.