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Finding the Fourth Proportional to 669.48, 1,003.28 and 322.60

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Solution

The fourth proportional to 669.48, 1,003.28 and 322.60 is: 483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.48 : 1,003.28 = 322.60 : x
  2. Step 2: Convert to fraction form
    669.48/1,003.28 = 322.60/x
  3. Step 3: Cross multiply
    669.48x = 1,003.28 × 322.60
  4. Step 4: Simplify right side
    669.48x = 323,658.13
  5. Step 5: Solve for x
    x = 323,658.13/669.48
  6. Step 6: Final answer
    x = 483.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.