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Finding the Fourth Proportional to 500.21, 750.04 and 384.37

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Solution

The fourth proportional to 500.21, 750.04 and 384.37 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.21 : 750.04 = 384.37 : x
  2. Step 2: Convert to fraction form
    500.21/750.04 = 384.37/x
  3. Step 3: Cross multiply
    500.21x = 750.04 × 384.37
  4. Step 4: Simplify right side
    500.21x = 288,292.87
  5. Step 5: Solve for x
    x = 288,292.87/500.21
  6. Step 6: Final answer
    x = 576.34

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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.