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Finding the Fourth Proportional to 500.64, 750.12 and 404.28

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Solution

The fourth proportional to 500.64, 750.12 and 404.28 is: 605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.64 : 750.12 = 404.28 : x
  2. Step 2: Convert to fraction form
    500.64/750.12 = 404.28/x
  3. Step 3: Cross multiply
    500.64x = 750.12 × 404.28
  4. Step 4: Simplify right side
    500.64x = 303,258.51
  5. Step 5: Solve for x
    x = 303,258.51/500.64
  6. Step 6: Final answer
    x = 605.74

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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.