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Finding the Fourth Proportional to 581.46, 801.68 and 423.96

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Solution

The fourth proportional to 581.46, 801.68 and 423.96 is: 584.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.46 : 801.68 = 423.96 : x
  2. Step 2: Convert to fraction form
    581.46/801.68 = 423.96/x
  3. Step 3: Cross multiply
    581.46x = 801.68 × 423.96
  4. Step 4: Simplify right side
    581.46x = 339,878.13
  5. Step 5: Solve for x
    x = 339,878.13/581.46
  6. Step 6: Final answer
    x = 584.53

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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.