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Finding the Fourth Proportional to 504.88, 755.84 and 402.32

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Solution

The fourth proportional to 504.88, 755.84 and 402.32 is: 602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.88 : 755.84 = 402.32 : x
  2. Step 2: Convert to fraction form
    504.88/755.84 = 402.32/x
  3. Step 3: Cross multiply
    504.88x = 755.84 × 402.32
  4. Step 4: Simplify right side
    504.88x = 304,089.55
  5. Step 5: Solve for x
    x = 304,089.55/504.88
  6. Step 6: Final answer
    x = 602.30

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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.