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Finding the Fourth Proportional to 541.40, 747.36 and 509.84

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Solution

The fourth proportional to 541.40, 747.36 and 509.84 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.40 : 747.36 = 509.84 : x
  2. Step 2: Convert to fraction form
    541.40/747.36 = 509.84/x
  3. Step 3: Cross multiply
    541.40x = 747.36 × 509.84
  4. Step 4: Simplify right side
    541.40x = 381,034.02
  5. Step 5: Solve for x
    x = 381,034.02/541.40
  6. Step 6: Final answer
    x = 703.79

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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.