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Finding the Fourth Proportional to 972.08, 1,457.52 and 322.64

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Solution

The fourth proportional to 972.08, 1,457.52 and 322.64 is: 483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.08 : 1,457.52 = 322.64 : x
  2. Step 2: Convert to fraction form
    972.08/1,457.52 = 322.64/x
  3. Step 3: Cross multiply
    972.08x = 1,457.52 × 322.64
  4. Step 4: Simplify right side
    972.08x = 470,254.25
  5. Step 5: Solve for x
    x = 470,254.25/972.08
  6. Step 6: Final answer
    x = 483.76

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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.