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Finding the Fourth Proportional to 464.68, 700.24 and 460.54

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Solution

The fourth proportional to 464.68, 700.24 and 460.54 is: 694.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.68 : 700.24 = 460.54 : x
  2. Step 2: Convert to fraction form
    464.68/700.24 = 460.54/x
  3. Step 3: Cross multiply
    464.68x = 700.24 × 460.54
  4. Step 4: Simplify right side
    464.68x = 322,488.53
  5. Step 5: Solve for x
    x = 322,488.53/464.68
  6. Step 6: Final answer
    x = 694.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.