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Finding the Fourth Proportional to 347.46, 520.65 and 282.60

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Solution

The fourth proportional to 347.46, 520.65 and 282.60 is: 423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.46 : 520.65 = 282.60 : x
  2. Step 2: Convert to fraction form
    347.46/520.65 = 282.60/x
  3. Step 3: Cross multiply
    347.46x = 520.65 × 282.60
  4. Step 4: Simplify right side
    347.46x = 147,135.69
  5. Step 5: Solve for x
    x = 147,135.69/347.46
  6. Step 6: Final answer
    x = 423.46

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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.