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Finding the Fourth Proportional to 580.69, 801.45 and 332.02

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Solution

The fourth proportional to 580.69, 801.45 and 332.02 is: 458.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.69 : 801.45 = 332.02 : x
  2. Step 2: Convert to fraction form
    580.69/801.45 = 332.02/x
  3. Step 3: Cross multiply
    580.69x = 801.45 × 332.02
  4. Step 4: Simplify right side
    580.69x = 266,095.43
  5. Step 5: Solve for x
    x = 266,095.43/580.69
  6. Step 6: Final answer
    x = 458.24

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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.