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Finding the Fourth Proportional to 547, 752.70 and 415.48

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Solution

The fourth proportional to 547, 752.70 and 415.48 is: 571.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547 : 752.70 = 415.48 : x
  2. Step 2: Convert to fraction form
    547/752.70 = 415.48/x
  3. Step 3: Cross multiply
    547x = 752.70 × 415.48
  4. Step 4: Simplify right side
    547x = 312,731.80
  5. Step 5: Solve for x
    x = 312,731.80/547
  6. Step 6: Final answer
    x = 571.72

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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.