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Finding the Fourth Proportional to 541.04, 810.74 and 500.54

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Solution

The fourth proportional to 541.04, 810.74 and 500.54 is: 750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.04 : 810.74 = 500.54 : x
  2. Step 2: Convert to fraction form
    541.04/810.74 = 500.54/x
  3. Step 3: Cross multiply
    541.04x = 810.74 × 500.54
  4. Step 4: Simplify right side
    541.04x = 405,805.00
  5. Step 5: Solve for x
    x = 405,805.00/541.04
  6. Step 6: Final answer
    x = 750.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.