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Finding the Fourth Proportional to 640.96, 883.92 and 420.10

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Solution

The fourth proportional to 640.96, 883.92 and 420.10 is: 579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.96 : 883.92 = 420.10 : x
  2. Step 2: Convert to fraction form
    640.96/883.92 = 420.10/x
  3. Step 3: Cross multiply
    640.96x = 883.92 × 420.10
  4. Step 4: Simplify right side
    640.96x = 371,334.79
  5. Step 5: Solve for x
    x = 371,334.79/640.96
  6. Step 6: Final answer
    x = 579.34

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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.