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Finding the Fourth Proportional to 654.16, 901.78 and 498.64

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Solution

The fourth proportional to 654.16, 901.78 and 498.64 is: 687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.16 : 901.78 = 498.64 : x
  2. Step 2: Convert to fraction form
    654.16/901.78 = 498.64/x
  3. Step 3: Cross multiply
    654.16x = 901.78 × 498.64
  4. Step 4: Simplify right side
    654.16x = 449,663.58
  5. Step 5: Solve for x
    x = 449,663.58/654.16
  6. Step 6: Final answer
    x = 687.39

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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.