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Finding the Fourth Proportional to 353.95, 530.71 and 209.77

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Solution

The fourth proportional to 353.95, 530.71 and 209.77 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 530.71 = 209.77 : x
  2. Step 2: Convert to fraction form
    353.95/530.71 = 209.77/x
  3. Step 3: Cross multiply
    353.95x = 530.71 × 209.77
  4. Step 4: Simplify right side
    353.95x = 111,327.04
  5. Step 5: Solve for x
    x = 111,327.04/353.95
  6. Step 6: Final answer
    x = 314.53

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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.