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Finding the Fourth Proportional to 628.36, 867.14 and 362.78

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Solution

The fourth proportional to 628.36, 867.14 and 362.78 is: 500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.36 : 867.14 = 362.78 : x
  2. Step 2: Convert to fraction form
    628.36/867.14 = 362.78/x
  3. Step 3: Cross multiply
    628.36x = 867.14 × 362.78
  4. Step 4: Simplify right side
    628.36x = 314,579.51
  5. Step 5: Solve for x
    x = 314,579.51/628.36
  6. Step 6: Final answer
    x = 500.64

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1.5x scale

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.