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Finding the Fourth Proportional to 462.00, 695.74 and 401.86

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Solution

The fourth proportional to 462.00, 695.74 and 401.86 is: 605.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.00 : 695.74 = 401.86 : x
  2. Step 2: Convert to fraction form
    462.00/695.74 = 401.86/x
  3. Step 3: Cross multiply
    462.00x = 695.74 × 401.86
  4. Step 4: Simplify right side
    462.00x = 279,590.69
  5. Step 5: Solve for x
    x = 279,590.69/462.00
  6. Step 6: Final answer
    x = 605.17

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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.