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Finding the Fourth Proportional to 407.76, 563.96 and 364.04

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Solution

The fourth proportional to 407.76, 563.96 and 364.04 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.76 : 563.96 = 364.04 : x
  2. Step 2: Convert to fraction form
    407.76/563.96 = 364.04/x
  3. Step 3: Cross multiply
    407.76x = 563.96 × 364.04
  4. Step 4: Simplify right side
    407.76x = 205,304.00
  5. Step 5: Solve for x
    x = 205,304.00/407.76
  6. Step 6: Final answer
    x = 503.49

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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.