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Finding the Fourth Proportional to 409.04, 612.60 and 317.84

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Solution

The fourth proportional to 409.04, 612.60 and 317.84 is: 476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 612.60 = 317.84 : x
  2. Step 2: Convert to fraction form
    409.04/612.60 = 317.84/x
  3. Step 3: Cross multiply
    409.04x = 612.60 × 317.84
  4. Step 4: Simplify right side
    409.04x = 194,708.78
  5. Step 5: Solve for x
    x = 194,708.78/409.04
  6. Step 6: Final answer
    x = 476.01

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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.