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Finding the Fourth Proportional to 580.84, 801.64 and 332.20

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Solution

The fourth proportional to 580.84, 801.64 and 332.20 is: 458.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.84 : 801.64 = 332.20 : x
  2. Step 2: Convert to fraction form
    580.84/801.64 = 332.20/x
  3. Step 3: Cross multiply
    580.84x = 801.64 × 332.20
  4. Step 4: Simplify right side
    580.84x = 266,304.81
  5. Step 5: Solve for x
    x = 266,304.81/580.84
  6. Step 6: Final answer
    x = 458.48

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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.