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Finding the Fourth Proportional to 553.69, 830.81 and 407.08

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Solution

The fourth proportional to 553.69, 830.81 and 407.08 is: 610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.69 : 830.81 = 407.08 : x
  2. Step 2: Convert to fraction form
    553.69/830.81 = 407.08/x
  3. Step 3: Cross multiply
    553.69x = 830.81 × 407.08
  4. Step 4: Simplify right side
    553.69x = 338,206.13
  5. Step 5: Solve for x
    x = 338,206.13/553.69
  6. Step 6: Final answer
    x = 610.82

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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.