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Finding the Fourth Proportional to 581.45, 801.45 and 463.23

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Solution

The fourth proportional to 581.45, 801.45 and 463.23 is: 638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.45 : 801.45 = 463.23 : x
  2. Step 2: Convert to fraction form
    581.45/801.45 = 463.23/x
  3. Step 3: Cross multiply
    581.45x = 801.45 × 463.23
  4. Step 4: Simplify right side
    581.45x = 371,255.68
  5. Step 5: Solve for x
    x = 371,255.68/581.45
  6. Step 6: Final answer
    x = 638.51

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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.