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Finding the Fourth Proportional to 654, 901.80 and 476.16

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Solution

The fourth proportional to 654, 901.80 and 476.16 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 901.80 = 476.16 : x
  2. Step 2: Convert to fraction form
    654/901.80 = 476.16/x
  3. Step 3: Cross multiply
    654x = 901.80 × 476.16
  4. Step 4: Simplify right side
    654x = 429,401.09
  5. Step 5: Solve for x
    x = 429,401.09/654
  6. Step 6: Final answer
    x = 656.58

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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.