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Finding the Fourth Proportional to 654.81, 903.65 and 360.10

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Solution

The fourth proportional to 654.81, 903.65 and 360.10 is: 496.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.81 : 903.65 = 360.10 : x
  2. Step 2: Convert to fraction form
    654.81/903.65 = 360.10/x
  3. Step 3: Cross multiply
    654.81x = 903.65 × 360.10
  4. Step 4: Simplify right side
    654.81x = 325,404.37
  5. Step 5: Solve for x
    x = 325,404.37/654.81
  6. Step 6: Final answer
    x = 496.94

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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.