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Finding the Fourth Proportional to 504.00, 755.65 and 357.74

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Solution

The fourth proportional to 504.00, 755.65 and 357.74 is: 536.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.00 : 755.65 = 357.74 : x
  2. Step 2: Convert to fraction form
    504.00/755.65 = 357.74/x
  3. Step 3: Cross multiply
    504.00x = 755.65 × 357.74
  4. Step 4: Simplify right side
    504.00x = 270,328.87
  5. Step 5: Solve for x
    x = 270,328.87/504.00
  6. Step 6: Final answer
    x = 536.37

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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.