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Finding the Fourth Proportional to 347.23, 479.64 and 282.52

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Solution

The fourth proportional to 347.23, 479.64 and 282.52 is: 390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.23 : 479.64 = 282.52 : x
  2. Step 2: Convert to fraction form
    347.23/479.64 = 282.52/x
  3. Step 3: Cross multiply
    347.23x = 479.64 × 282.52
  4. Step 4: Simplify right side
    347.23x = 135,507.89
  5. Step 5: Solve for x
    x = 135,507.89/347.23
  6. Step 6: Final answer
    x = 390.25

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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.