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Finding the Fourth Proportional to 464.05, 695.49 and 415.02

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Solution

The fourth proportional to 464.05, 695.49 and 415.02 is: 622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.05 : 695.49 = 415.02 : x
  2. Step 2: Convert to fraction form
    464.05/695.49 = 415.02/x
  3. Step 3: Cross multiply
    464.05x = 695.49 × 415.02
  4. Step 4: Simplify right side
    464.05x = 288,642.26
  5. Step 5: Solve for x
    x = 288,642.26/464.05
  6. Step 6: Final answer
    x = 622.01

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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.