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Finding the Fourth Proportional to 553.65, 829.25 and 370.18

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Solution

The fourth proportional to 553.65, 829.25 and 370.18 is: 554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.65 : 829.25 = 370.18 : x
  2. Step 2: Convert to fraction form
    553.65/829.25 = 370.18/x
  3. Step 3: Cross multiply
    553.65x = 829.25 × 370.18
  4. Step 4: Simplify right side
    553.65x = 306,971.77
  5. Step 5: Solve for x
    x = 306,971.77/553.65
  6. Step 6: Final answer
    x = 554.45

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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.