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Finding the Fourth Proportional to 476.58, 659.49 and 406.53

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Solution

The fourth proportional to 476.58, 659.49 and 406.53 is: 562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.58 : 659.49 = 406.53 : x
  2. Step 2: Convert to fraction form
    476.58/659.49 = 406.53/x
  3. Step 3: Cross multiply
    476.58x = 659.49 × 406.53
  4. Step 4: Simplify right side
    476.58x = 268,102.47
  5. Step 5: Solve for x
    x = 268,102.47/476.58
  6. Step 6: Final answer
    x = 562.56

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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.