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Finding the Fourth Proportional to 790.24, 1,185.72 and 303.40

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Solution

The fourth proportional to 790.24, 1,185.72 and 303.40 is: 455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.24 : 1,185.72 = 303.40 : x
  2. Step 2: Convert to fraction form
    790.24/1,185.72 = 303.40/x
  3. Step 3: Cross multiply
    790.24x = 1,185.72 × 303.40
  4. Step 4: Simplify right side
    790.24x = 359,747.45
  5. Step 5: Solve for x
    x = 359,747.45/790.24
  6. Step 6: Final answer
    x = 455.24

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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.