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Finding the Fourth Proportional to 476.01, 712.90 and 459.58

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Solution

The fourth proportional to 476.01, 712.90 and 459.58 is: 688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.01 : 712.90 = 459.58 : x
  2. Step 2: Convert to fraction form
    476.01/712.90 = 459.58/x
  3. Step 3: Cross multiply
    476.01x = 712.90 × 459.58
  4. Step 4: Simplify right side
    476.01x = 327,634.58
  5. Step 5: Solve for x
    x = 327,634.58/476.01
  6. Step 6: Final answer
    x = 688.29

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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.