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Finding the Fourth Proportional to 347.76, 480.34 and 288.98

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Solution

The fourth proportional to 347.76, 480.34 and 288.98 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.76 : 480.34 = 288.98 : x
  2. Step 2: Convert to fraction form
    347.76/480.34 = 288.98/x
  3. Step 3: Cross multiply
    347.76x = 480.34 × 288.98
  4. Step 4: Simplify right side
    347.76x = 138,809.50
  5. Step 5: Solve for x
    x = 138,809.50/347.76
  6. Step 6: Final answer
    x = 399.16

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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.