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Finding the Fourth Proportional to 654.95, 903.85 and 360.25

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Solution

The fourth proportional to 654.95, 903.85 and 360.25 is: 497.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.95 : 903.85 = 360.25 : x
  2. Step 2: Convert to fraction form
    654.95/903.85 = 360.25/x
  3. Step 3: Cross multiply
    654.95x = 903.85 × 360.25
  4. Step 4: Simplify right side
    654.95x = 325,605.64
  5. Step 5: Solve for x
    x = 325,605.64/654.95
  6. Step 6: Final answer
    x = 497.15

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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.