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Finding the Fourth Proportional to 633.87, 946.64 and 540.32

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Solution

The fourth proportional to 633.87, 946.64 and 540.32 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.87 : 946.64 = 540.32 : x
  2. Step 2: Convert to fraction form
    633.87/946.64 = 540.32/x
  3. Step 3: Cross multiply
    633.87x = 946.64 × 540.32
  4. Step 4: Simplify right side
    633.87x = 511,484.64
  5. Step 5: Solve for x
    x = 511,484.64/633.87
  6. Step 6: Final answer
    x = 806.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.