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Finding the Fourth Proportional to 633.84, 874.20 and 509.64

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Solution

The fourth proportional to 633.84, 874.20 and 509.64 is: 702.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 874.20 = 509.64 : x
  2. Step 2: Convert to fraction form
    633.84/874.20 = 509.64/x
  3. Step 3: Cross multiply
    633.84x = 874.20 × 509.64
  4. Step 4: Simplify right side
    633.84x = 445,527.29
  5. Step 5: Solve for x
    x = 445,527.29/633.84
  6. Step 6: Final answer
    x = 702.90

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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.