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Finding the Fourth Proportional to 352.95, 529.21 and 208.77

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Solution

The fourth proportional to 352.95, 529.21 and 208.77 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.95 : 529.21 = 208.77 : x
  2. Step 2: Convert to fraction form
    352.95/529.21 = 208.77/x
  3. Step 3: Cross multiply
    352.95x = 529.21 × 208.77
  4. Step 4: Simplify right side
    352.95x = 110,483.17
  5. Step 5: Solve for x
    x = 110,483.17/352.95
  6. Step 6: Final answer
    x = 313.03

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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.