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Finding the Fourth Proportional to 347.37, 478.35 and 310.52

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Solution

The fourth proportional to 347.37, 478.35 and 310.52 is: 427.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 478.35 = 310.52 : x
  2. Step 2: Convert to fraction form
    347.37/478.35 = 310.52/x
  3. Step 3: Cross multiply
    347.37x = 478.35 × 310.52
  4. Step 4: Simplify right side
    347.37x = 148,534.85
  5. Step 5: Solve for x
    x = 148,534.85/347.37
  6. Step 6: Final answer
    x = 427.60

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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.