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Finding the Fourth Proportional to 417.69, 576.45 and 270.36

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Solution

The fourth proportional to 417.69, 576.45 and 270.36 is: 373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 576.45 = 270.36 : x
  2. Step 2: Convert to fraction form
    417.69/576.45 = 270.36/x
  3. Step 3: Cross multiply
    417.69x = 576.45 × 270.36
  4. Step 4: Simplify right side
    417.69x = 155,849.02
  5. Step 5: Solve for x
    x = 155,849.02/417.69
  6. Step 6: Final answer
    x = 373.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.