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Finding the Fourth Proportional to 476.84, 659.84 and 406.79

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Solution

The fourth proportional to 476.84, 659.84 and 406.79 is: 562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.84 : 659.84 = 406.79 : x
  2. Step 2: Convert to fraction form
    476.84/659.84 = 406.79/x
  3. Step 3: Cross multiply
    476.84x = 659.84 × 406.79
  4. Step 4: Simplify right side
    476.84x = 268,416.31
  5. Step 5: Solve for x
    x = 268,416.31/476.84
  6. Step 6: Final answer
    x = 562.91

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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.