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Finding the Fourth Proportional to 455.98, 684.28 and 347.88

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Solution

The fourth proportional to 455.98, 684.28 and 347.88 is: 522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.98 : 684.28 = 347.88 : x
  2. Step 2: Convert to fraction form
    455.98/684.28 = 347.88/x
  3. Step 3: Cross multiply
    455.98x = 684.28 × 347.88
  4. Step 4: Simplify right side
    455.98x = 238,047.33
  5. Step 5: Solve for x
    x = 238,047.33/455.98
  6. Step 6: Final answer
    x = 522.06

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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.