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Finding the Fourth Proportional to 546.15, 817.59 and 473.25

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Solution

The fourth proportional to 546.15, 817.59 and 473.25 is: 708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.15 : 817.59 = 473.25 : x
  2. Step 2: Convert to fraction form
    546.15/817.59 = 473.25/x
  3. Step 3: Cross multiply
    546.15x = 817.59 × 473.25
  4. Step 4: Simplify right side
    546.15x = 386,924.47
  5. Step 5: Solve for x
    x = 386,924.47/546.15
  6. Step 6: Final answer
    x = 708.46

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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.