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Finding the Fourth Proportional to 347.12, 478.64 and 253.92

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Solution

The fourth proportional to 347.12, 478.64 and 253.92 is: 350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 478.64 = 253.92 : x
  2. Step 2: Convert to fraction form
    347.12/478.64 = 253.92/x
  3. Step 3: Cross multiply
    347.12x = 478.64 × 253.92
  4. Step 4: Simplify right side
    347.12x = 121,536.27
  5. Step 5: Solve for x
    x = 121,536.27/347.12
  6. Step 6: Final answer
    x = 350.13

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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.