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Finding the Fourth Proportional to 465.01, 642.42 and 360.52

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Solution

The fourth proportional to 465.01, 642.42 and 360.52 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.01 : 642.42 = 360.52 : x
  2. Step 2: Convert to fraction form
    465.01/642.42 = 360.52/x
  3. Step 3: Cross multiply
    465.01x = 642.42 × 360.52
  4. Step 4: Simplify right side
    465.01x = 231,603.65
  5. Step 5: Solve for x
    x = 231,603.65/465.01
  6. Step 6: Final answer
    x = 498.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.