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Finding the Fourth Proportional to 580.87, 801.65 and 332.23

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Solution

The fourth proportional to 580.87, 801.65 and 332.23 is: 458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.87 : 801.65 = 332.23 : x
  2. Step 2: Convert to fraction form
    580.87/801.65 = 332.23/x
  3. Step 3: Cross multiply
    580.87x = 801.65 × 332.23
  4. Step 4: Simplify right side
    580.87x = 266,328.39
  5. Step 5: Solve for x
    x = 266,328.39/580.87
  6. Step 6: Final answer
    x = 458.50

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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.