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Finding the Fourth Proportional to 478.08, 660.48 and 435.84

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Solution

The fourth proportional to 478.08, 660.48 and 435.84 is: 602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 660.48 = 435.84 : x
  2. Step 2: Convert to fraction form
    478.08/660.48 = 435.84/x
  3. Step 3: Cross multiply
    478.08x = 660.48 × 435.84
  4. Step 4: Simplify right side
    478.08x = 287,863.60
  5. Step 5: Solve for x
    x = 287,863.60/478.08
  6. Step 6: Final answer
    x = 602.12

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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.