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Finding the Fourth Proportional to 493.80, 680.76 and 435.48

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Solution

The fourth proportional to 493.80, 680.76 and 435.48 is: 600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.80 : 680.76 = 435.48 : x
  2. Step 2: Convert to fraction form
    493.80/680.76 = 435.48/x
  3. Step 3: Cross multiply
    493.80x = 680.76 × 435.48
  4. Step 4: Simplify right side
    493.80x = 296,457.36
  5. Step 5: Solve for x
    x = 296,457.36/493.80
  6. Step 6: Final answer
    x = 600.36

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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.