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Finding the Fourth Proportional to 407.94, 562.48 and 384.09

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Solution

The fourth proportional to 407.94, 562.48 and 384.09 is: 529.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.94 : 562.48 = 384.09 : x
  2. Step 2: Convert to fraction form
    407.94/562.48 = 384.09/x
  3. Step 3: Cross multiply
    407.94x = 562.48 × 384.09
  4. Step 4: Simplify right side
    407.94x = 216,042.94
  5. Step 5: Solve for x
    x = 216,042.94/407.94
  6. Step 6: Final answer
    x = 529.59

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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.