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Finding the Fourth Proportional to 641.40, 960.90 and 572.16

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Solution

The fourth proportional to 641.40, 960.90 and 572.16 is: 857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.40 : 960.90 = 572.16 : x
  2. Step 2: Convert to fraction form
    641.40/960.90 = 572.16/x
  3. Step 3: Cross multiply
    641.40x = 960.90 × 572.16
  4. Step 4: Simplify right side
    641.40x = 549,788.54
  5. Step 5: Solve for x
    x = 549,788.54/641.40
  6. Step 6: Final answer
    x = 857.17

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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.