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Finding the Fourth Proportional to 464.00, 691.52 and 460.17

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Solution

The fourth proportional to 464.00, 691.52 and 460.17 is: 685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 691.52 = 460.17 : x
  2. Step 2: Convert to fraction form
    464.00/691.52 = 460.17/x
  3. Step 3: Cross multiply
    464.00x = 691.52 × 460.17
  4. Step 4: Simplify right side
    464.00x = 318,214.46
  5. Step 5: Solve for x
    x = 318,214.46/464.00
  6. Step 6: Final answer
    x = 685.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.