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Finding the Fourth Proportional to 504.86, 755.70 and 347.76

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Solution

The fourth proportional to 504.86, 755.70 and 347.76 is: 520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.86 : 755.70 = 347.76 : x
  2. Step 2: Convert to fraction form
    504.86/755.70 = 347.76/x
  3. Step 3: Cross multiply
    504.86x = 755.70 × 347.76
  4. Step 4: Simplify right side
    504.86x = 262,802.23
  5. Step 5: Solve for x
    x = 262,802.23/504.86
  6. Step 6: Final answer
    x = 520.55

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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.