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Finding the Fourth Proportional to 553.95, 829.62 and 322.35

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Solution

The fourth proportional to 553.95, 829.62 and 322.35 is: 482.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 829.62 = 322.35 : x
  2. Step 2: Convert to fraction form
    553.95/829.62 = 322.35/x
  3. Step 3: Cross multiply
    553.95x = 829.62 × 322.35
  4. Step 4: Simplify right side
    553.95x = 267,428.01
  5. Step 5: Solve for x
    x = 267,428.01/553.95
  6. Step 6: Final answer
    x = 482.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.