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Finding the Fourth Proportional to 505.08, 696.33 and 432.18

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Solution

The fourth proportional to 505.08, 696.33 and 432.18 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.08 : 696.33 = 432.18 : x
  2. Step 2: Convert to fraction form
    505.08/696.33 = 432.18/x
  3. Step 3: Cross multiply
    505.08x = 696.33 × 432.18
  4. Step 4: Simplify right side
    505.08x = 300,939.90
  5. Step 5: Solve for x
    x = 300,939.90/505.08
  6. Step 6: Final answer
    x = 595.83

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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.