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Finding the Fourth Proportional to 417.67, 576.30 and 307.24

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Solution

The fourth proportional to 417.67, 576.30 and 307.24 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.67 : 576.30 = 307.24 : x
  2. Step 2: Convert to fraction form
    417.67/576.30 = 307.24/x
  3. Step 3: Cross multiply
    417.67x = 576.30 × 307.24
  4. Step 4: Simplify right side
    417.67x = 177,062.41
  5. Step 5: Solve for x
    x = 177,062.41/417.67
  6. Step 6: Final answer
    x = 423.93

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Why These Related Problems?

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