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Finding the Fourth Proportional to 633.23, 873.60 and 397.07

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Solution

The fourth proportional to 633.23, 873.60 and 397.07 is: 547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.23 : 873.60 = 397.07 : x
  2. Step 2: Convert to fraction form
    633.23/873.60 = 397.07/x
  3. Step 3: Cross multiply
    633.23x = 873.60 × 397.07
  4. Step 4: Simplify right side
    633.23x = 346,875.98
  5. Step 5: Solve for x
    x = 346,875.98/633.23
  6. Step 6: Final answer
    x = 547.79

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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.