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Finding the Fourth Proportional to 504.60, 755.96 and 402

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Solution

The fourth proportional to 504.60, 755.96 and 402 is: 602.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.60 : 755.96 = 402 : x
  2. Step 2: Convert to fraction form
    504.60/755.96 = 402/x
  3. Step 3: Cross multiply
    504.60x = 755.96 × 402
  4. Step 4: Simplify right side
    504.60x = 303,893.91
  5. Step 5: Solve for x
    x = 303,893.91/504.60
  6. Step 6: Final answer
    x = 602.25

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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.