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Finding the Fourth Proportional to 347.48, 523.54 and 314.58

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Solution

The fourth proportional to 347.48, 523.54 and 314.58 is: 473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.48 : 523.54 = 314.58 : x
  2. Step 2: Convert to fraction form
    347.48/523.54 = 314.58/x
  3. Step 3: Cross multiply
    347.48x = 523.54 × 314.58
  4. Step 4: Simplify right side
    347.48x = 164,695.21
  5. Step 5: Solve for x
    x = 164,695.21/347.48
  6. Step 6: Final answer
    x = 473.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.