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Finding the Fourth Proportional to 504.57, 695.79 and 347.34

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Solution

The fourth proportional to 504.57, 695.79 and 347.34 is: 478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.57 : 695.79 = 347.34 : x
  2. Step 2: Convert to fraction form
    504.57/695.79 = 347.34/x
  3. Step 3: Cross multiply
    504.57x = 695.79 × 347.34
  4. Step 4: Simplify right side
    504.57x = 241,675.70
  5. Step 5: Solve for x
    x = 241,675.70/504.57
  6. Step 6: Final answer
    x = 478.97

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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.