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Finding the Fourth Proportional to 407.46, 612.41 and 358.86

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Solution

The fourth proportional to 407.46, 612.41 and 358.86 is: 539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 612.41 = 358.86 : x
  2. Step 2: Convert to fraction form
    407.46/612.41 = 358.86/x
  3. Step 3: Cross multiply
    407.46x = 612.41 × 358.86
  4. Step 4: Simplify right side
    407.46x = 219,769.45
  5. Step 5: Solve for x
    x = 219,769.45/407.46
  6. Step 6: Final answer
    x = 539.36

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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.