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Finding the Fourth Proportional to 548.64, 757.86 and 509.76

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Solution

The fourth proportional to 548.64, 757.86 and 509.76 is: 704.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.64 : 757.86 = 509.76 : x
  2. Step 2: Convert to fraction form
    548.64/757.86 = 509.76/x
  3. Step 3: Cross multiply
    548.64x = 757.86 × 509.76
  4. Step 4: Simplify right side
    548.64x = 386,326.71
  5. Step 5: Solve for x
    x = 386,326.71/548.64
  6. Step 6: Final answer
    x = 704.15

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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.