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Finding the Fourth Proportional to 652.94, 901.15 and 401.02

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Solution

The fourth proportional to 652.94, 901.15 and 401.02 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.94 : 901.15 = 401.02 : x
  2. Step 2: Convert to fraction form
    652.94/901.15 = 401.02/x
  3. Step 3: Cross multiply
    652.94x = 901.15 × 401.02
  4. Step 4: Simplify right side
    652.94x = 361,375.92
  5. Step 5: Solve for x
    x = 361,375.92/652.94
  6. Step 6: Final answer
    x = 553.46

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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.