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Finding the Fourth Proportional to 654.74, 903.57 and 360.01

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Solution

The fourth proportional to 654.74, 903.57 and 360.01 is: 496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 903.57 = 360.01 : x
  2. Step 2: Convert to fraction form
    654.74/903.57 = 360.01/x
  3. Step 3: Cross multiply
    654.74x = 903.57 × 360.01
  4. Step 4: Simplify right side
    654.74x = 325,294.24
  5. Step 5: Solve for x
    x = 325,294.24/654.74
  6. Step 6: Final answer
    x = 496.83

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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.