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Finding the Fourth Proportional to 476.04, 660.27 and 456.60

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Solution

The fourth proportional to 476.04, 660.27 and 456.60 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.04 : 660.27 = 456.60 : x
  2. Step 2: Convert to fraction form
    476.04/660.27 = 456.60/x
  3. Step 3: Cross multiply
    476.04x = 660.27 × 456.60
  4. Step 4: Simplify right side
    476.04x = 301,479.28
  5. Step 5: Solve for x
    x = 301,479.28/476.04
  6. Step 6: Final answer
    x = 633.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.