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Finding the Fourth Proportional to 633.12, 873.12 and 485.76

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Solution

The fourth proportional to 633.12, 873.12 and 485.76 is: 669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.12 : 873.12 = 485.76 : x
  2. Step 2: Convert to fraction form
    633.12/873.12 = 485.76/x
  3. Step 3: Cross multiply
    633.12x = 873.12 × 485.76
  4. Step 4: Simplify right side
    633.12x = 424,126.77
  5. Step 5: Solve for x
    x = 424,126.77/633.12
  6. Step 6: Final answer
    x = 669.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.