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Finding the Fourth Proportional to 553.67, 763.98 and 317.60

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Solution

The fourth proportional to 553.67, 763.98 and 317.60 is: 438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.67 : 763.98 = 317.60 : x
  2. Step 2: Convert to fraction form
    553.67/763.98 = 317.60/x
  3. Step 3: Cross multiply
    553.67x = 763.98 × 317.60
  4. Step 4: Simplify right side
    553.67x = 242,636.23
  5. Step 5: Solve for x
    x = 242,636.23/553.67
  6. Step 6: Final answer
    x = 438.24

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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.