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Finding the Fourth Proportional to 465.70, 642.44 and 291.02

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Solution

The fourth proportional to 465.70, 642.44 and 291.02 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.70 : 642.44 = 291.02 : x
  2. Step 2: Convert to fraction form
    465.70/642.44 = 291.02/x
  3. Step 3: Cross multiply
    465.70x = 642.44 × 291.02
  4. Step 4: Simplify right side
    465.70x = 186,962.89
  5. Step 5: Solve for x
    x = 186,962.89/465.70
  6. Step 6: Final answer
    x = 401.47

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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.