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Finding the Fourth Proportional to 635.45, 876.54 and 478.01

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Solution

The fourth proportional to 635.45, 876.54 and 478.01 is: 659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.45 : 876.54 = 478.01 : x
  2. Step 2: Convert to fraction form
    635.45/876.54 = 478.01/x
  3. Step 3: Cross multiply
    635.45x = 876.54 × 478.01
  4. Step 4: Simplify right side
    635.45x = 418,998.87
  5. Step 5: Solve for x
    x = 418,998.87/635.45
  6. Step 6: Final answer
    x = 659.38

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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.