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Finding the Fourth Proportional to 553.61, 830.14 and 322.55

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Solution

The fourth proportional to 553.61, 830.14 and 322.55 is: 483.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.61 : 830.14 = 322.55 : x
  2. Step 2: Convert to fraction form
    553.61/830.14 = 322.55/x
  3. Step 3: Cross multiply
    553.61x = 830.14 × 322.55
  4. Step 4: Simplify right side
    553.61x = 267,761.66
  5. Step 5: Solve for x
    x = 267,761.66/553.61
  6. Step 6: Final answer
    x = 483.66

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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.