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Finding the Fourth Proportional to 401.53, 602.33 and 123.95

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Solution

The fourth proportional to 401.53, 602.33 and 123.95 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.53 : 602.33 = 123.95 : x
  2. Step 2: Convert to fraction form
    401.53/602.33 = 123.95/x
  3. Step 3: Cross multiply
    401.53x = 602.33 × 123.95
  4. Step 4: Simplify right side
    401.53x = 74,655.17
  5. Step 5: Solve for x
    x = 74,655.17/401.53
  6. Step 6: Final answer
    x = 185.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.