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Finding the Fourth Proportional to 581.70, 801.69 and 548.10

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Solution

The fourth proportional to 581.70, 801.69 and 548.10 is: 755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 801.69 = 548.10 : x
  2. Step 2: Convert to fraction form
    581.70/801.69 = 548.10/x
  3. Step 3: Cross multiply
    581.70x = 801.69 × 548.10
  4. Step 4: Simplify right side
    581.70x = 439,406.29
  5. Step 5: Solve for x
    x = 439,406.29/581.70
  6. Step 6: Final answer
    x = 755.38

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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.