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Finding the Fourth Proportional to 451.58, 622.95 and 292.01

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Solution

The fourth proportional to 451.58, 622.95 and 292.01 is: 402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.58 : 622.95 = 292.01 : x
  2. Step 2: Convert to fraction form
    451.58/622.95 = 292.01/x
  3. Step 3: Cross multiply
    451.58x = 622.95 × 292.01
  4. Step 4: Simplify right side
    451.58x = 181,907.63
  5. Step 5: Solve for x
    x = 181,907.63/451.58
  6. Step 6: Final answer
    x = 402.82

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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.