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Finding the Fourth Proportional to 632.60, 944.58 and 541.16

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Solution

The fourth proportional to 632.60, 944.58 and 541.16 is: 808.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.60 : 944.58 = 541.16 : x
  2. Step 2: Convert to fraction form
    632.60/944.58 = 541.16/x
  3. Step 3: Cross multiply
    632.60x = 944.58 × 541.16
  4. Step 4: Simplify right side
    632.60x = 511,168.91
  5. Step 5: Solve for x
    x = 511,168.91/632.60
  6. Step 6: Final answer
    x = 808.04

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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.