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Finding the Fourth Proportional to 580.37, 801.14 and 432.74

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Solution

The fourth proportional to 580.37, 801.14 and 432.74 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.37 : 801.14 = 432.74 : x
  2. Step 2: Convert to fraction form
    580.37/801.14 = 432.74/x
  3. Step 3: Cross multiply
    580.37x = 801.14 × 432.74
  4. Step 4: Simplify right side
    580.37x = 346,687.60
  5. Step 5: Solve for x
    x = 346,687.60/580.37
  6. Step 6: Final answer
    x = 597.36

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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.