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Finding the Fourth Proportional to 410.45, 616.69 and 364.37

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Solution

The fourth proportional to 410.45, 616.69 and 364.37 is: 547.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 616.69 = 364.37 : x
  2. Step 2: Convert to fraction form
    410.45/616.69 = 364.37/x
  3. Step 3: Cross multiply
    410.45x = 616.69 × 364.37
  4. Step 4: Simplify right side
    410.45x = 224,699.34
  5. Step 5: Solve for x
    x = 224,699.34/410.45
  6. Step 6: Final answer
    x = 547.45

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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.