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Finding the Fourth Proportional to 633.66, 950.78 and 578.98

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Solution

The fourth proportional to 633.66, 950.78 and 578.98 is: 868.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.66 : 950.78 = 578.98 : x
  2. Step 2: Convert to fraction form
    633.66/950.78 = 578.98/x
  3. Step 3: Cross multiply
    633.66x = 950.78 × 578.98
  4. Step 4: Simplify right side
    633.66x = 550,482.60
  5. Step 5: Solve for x
    x = 550,482.60/633.66
  6. Step 6: Final answer
    x = 868.73

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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.