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Finding the Fourth Proportional to 435.22, 600.64 and 288.14

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Solution

The fourth proportional to 435.22, 600.64 and 288.14 is: 397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.22 : 600.64 = 288.14 : x
  2. Step 2: Convert to fraction form
    435.22/600.64 = 288.14/x
  3. Step 3: Cross multiply
    435.22x = 600.64 × 288.14
  4. Step 4: Simplify right side
    435.22x = 173,068.41
  5. Step 5: Solve for x
    x = 173,068.41/435.22
  6. Step 6: Final answer
    x = 397.66

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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.