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Finding the Fourth Proportional to 505.32, 757.44 and 432.96

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Solution

The fourth proportional to 505.32, 757.44 and 432.96 is: 648.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.32 : 757.44 = 432.96 : x
  2. Step 2: Convert to fraction form
    505.32/757.44 = 432.96/x
  3. Step 3: Cross multiply
    505.32x = 757.44 × 432.96
  4. Step 4: Simplify right side
    505.32x = 327,941.22
  5. Step 5: Solve for x
    x = 327,941.22/505.32
  6. Step 6: Final answer
    x = 648.98

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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.