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Finding the Fourth Proportional to 541.69, 747.81 and 509.29

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Solution

The fourth proportional to 541.69, 747.81 and 509.29 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.69 : 747.81 = 509.29 : x
  2. Step 2: Convert to fraction form
    541.69/747.81 = 509.29/x
  3. Step 3: Cross multiply
    541.69x = 747.81 × 509.29
  4. Step 4: Simplify right side
    541.69x = 380,850.29
  5. Step 5: Solve for x
    x = 380,850.29/541.69
  6. Step 6: Final answer
    x = 703.08

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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.