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Finding the Fourth Proportional to 553.55, 830.65 and 207.13

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Solution

The fourth proportional to 553.55, 830.65 and 207.13 is: 310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.55 : 830.65 = 207.13 : x
  2. Step 2: Convert to fraction form
    553.55/830.65 = 207.13/x
  3. Step 3: Cross multiply
    553.55x = 830.65 × 207.13
  4. Step 4: Simplify right side
    553.55x = 172,052.53
  5. Step 5: Solve for x
    x = 172,052.53/553.55
  6. Step 6: Final answer
    x = 310.82

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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.