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Finding the Fourth Proportional to 409.48, 612.84 and 375.76

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Solution

The fourth proportional to 409.48, 612.84 and 375.76 is: 562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.48 : 612.84 = 375.76 : x
  2. Step 2: Convert to fraction form
    409.48/612.84 = 375.76/x
  3. Step 3: Cross multiply
    409.48x = 612.84 × 375.76
  4. Step 4: Simplify right side
    409.48x = 230,280.76
  5. Step 5: Solve for x
    x = 230,280.76/409.48
  6. Step 6: Final answer
    x = 562.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.