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Finding the Fourth Proportional to 972.12, 1,457.76 and 322.76

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Solution

The fourth proportional to 972.12, 1,457.76 and 322.76 is: 484.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,457.76 = 322.76 : x
  2. Step 2: Convert to fraction form
    972.12/1,457.76 = 322.76/x
  3. Step 3: Cross multiply
    972.12x = 1,457.76 × 322.76
  4. Step 4: Simplify right side
    972.12x = 470,506.62
  5. Step 5: Solve for x
    x = 470,506.62/972.12
  6. Step 6: Final answer
    x = 484.00

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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.