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Finding the Fourth Proportional to 546.70, 753.65 and 415.48

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Solution

The fourth proportional to 546.70, 753.65 and 415.48 is: 572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.70 : 753.65 = 415.48 : x
  2. Step 2: Convert to fraction form
    546.70/753.65 = 415.48/x
  3. Step 3: Cross multiply
    546.70x = 753.65 × 415.48
  4. Step 4: Simplify right side
    546.70x = 313,126.50
  5. Step 5: Solve for x
    x = 313,126.50/546.70
  6. Step 6: Final answer
    x = 572.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.