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Finding the Fourth Proportional to 553.35, 829.98 and 260.78

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Solution

The fourth proportional to 553.35, 829.98 and 260.78 is: 391.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.35 : 829.98 = 260.78 : x
  2. Step 2: Convert to fraction form
    553.35/829.98 = 260.78/x
  3. Step 3: Cross multiply
    553.35x = 829.98 × 260.78
  4. Step 4: Simplify right side
    553.35x = 216,442.18
  5. Step 5: Solve for x
    x = 216,442.18/553.35
  6. Step 6: Final answer
    x = 391.15

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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.