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Finding the Fourth Proportional to 548.70, 757.56 and 362.40

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Solution

The fourth proportional to 548.70, 757.56 and 362.40 is: 500.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.70 : 757.56 = 362.40 : x
  2. Step 2: Convert to fraction form
    548.70/757.56 = 362.40/x
  3. Step 3: Cross multiply
    548.70x = 757.56 × 362.40
  4. Step 4: Simplify right side
    548.70x = 274,539.74
  5. Step 5: Solve for x
    x = 274,539.74/548.70
  6. Step 6: Final answer
    x = 500.35

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1.5x scale

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.