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Finding the Fourth Proportional to 465.02, 642.04 and 359.93

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Solution

The fourth proportional to 465.02, 642.04 and 359.93 is: 496.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.02 : 642.04 = 359.93 : x
  2. Step 2: Convert to fraction form
    465.02/642.04 = 359.93/x
  3. Step 3: Cross multiply
    465.02x = 642.04 × 359.93
  4. Step 4: Simplify right side
    465.02x = 231,089.46
  5. Step 5: Solve for x
    x = 231,089.46/465.02
  6. Step 6: Final answer
    x = 496.95

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Why These Related Problems?

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