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Finding the Fourth Proportional to 633.51, 873.23 and 411.98

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Solution

The fourth proportional to 633.51, 873.23 and 411.98 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.51 : 873.23 = 411.98 : x
  2. Step 2: Convert to fraction form
    633.51/873.23 = 411.98/x
  3. Step 3: Cross multiply
    633.51x = 873.23 × 411.98
  4. Step 4: Simplify right side
    633.51x = 359,746.87
  5. Step 5: Solve for x
    x = 359,746.87/633.51
  6. Step 6: Final answer
    x = 567.86

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Why These Related Problems?

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