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Finding the Fourth Proportional to 435.04, 651.26 and 280.51

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Solution

The fourth proportional to 435.04, 651.26 and 280.51 is: 419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.04 : 651.26 = 280.51 : x
  2. Step 2: Convert to fraction form
    435.04/651.26 = 280.51/x
  3. Step 3: Cross multiply
    435.04x = 651.26 × 280.51
  4. Step 4: Simplify right side
    435.04x = 182,684.02
  5. Step 5: Solve for x
    x = 182,684.02/435.04
  6. Step 6: Final answer
    x = 419.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.