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Finding the Fourth Proportional to 500.04, 750.18 and 305.22

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Solution

The fourth proportional to 500.04, 750.18 and 305.22 is: 457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.04 : 750.18 = 305.22 : x
  2. Step 2: Convert to fraction form
    500.04/750.18 = 305.22/x
  3. Step 3: Cross multiply
    500.04x = 750.18 × 305.22
  4. Step 4: Simplify right side
    500.04x = 228,969.94
  5. Step 5: Solve for x
    x = 228,969.94/500.04
  6. Step 6: Final answer
    x = 457.90

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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.