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Finding the Fourth Proportional to 633.72, 874.58 and 354.00

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Solution

The fourth proportional to 633.72, 874.58 and 354.00 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.72 : 874.58 = 354.00 : x
  2. Step 2: Convert to fraction form
    633.72/874.58 = 354.00/x
  3. Step 3: Cross multiply
    633.72x = 874.58 × 354.00
  4. Step 4: Simplify right side
    633.72x = 309,599.17
  5. Step 5: Solve for x
    x = 309,599.17/633.72
  6. Step 6: Final answer
    x = 488.54

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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.