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Finding the Fourth Proportional to 504, 754.08 and 400.80

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Solution

The fourth proportional to 504, 754.08 and 400.80 is: 599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    504 : 754.08 = 400.80 : x
  2. Step 2: Convert to fraction form
    504/754.08 = 400.80/x
  3. Step 3: Cross multiply
    504x = 754.08 × 400.80
  4. Step 4: Simplify right side
    504x = 302,235.26
  5. Step 5: Solve for x
    x = 302,235.26/504
  6. Step 6: Final answer
    x = 599.67

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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.