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Finding the Fourth Proportional to 654.84, 903.75 and 360.13

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Solution

The fourth proportional to 654.84, 903.75 and 360.13 is: 497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 903.75 = 360.13 : x
  2. Step 2: Convert to fraction form
    654.84/903.75 = 360.13/x
  3. Step 3: Cross multiply
    654.84x = 903.75 × 360.13
  4. Step 4: Simplify right side
    654.84x = 325,467.49
  5. Step 5: Solve for x
    x = 325,467.49/654.84
  6. Step 6: Final answer
    x = 497.02

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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.