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Finding the Fourth Proportional to 504.62, 755.35 and 388.76

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Solution

The fourth proportional to 504.62, 755.35 and 388.76 is: 581.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 755.35 = 388.76 : x
  2. Step 2: Convert to fraction form
    504.62/755.35 = 388.76/x
  3. Step 3: Cross multiply
    504.62x = 755.35 × 388.76
  4. Step 4: Simplify right side
    504.62x = 293,649.87
  5. Step 5: Solve for x
    x = 293,649.87/504.62
  6. Step 6: Final answer
    x = 581.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.