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Finding the Fourth Proportional to 570.35, 787.08 and 321.66

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Solution

The fourth proportional to 570.35, 787.08 and 321.66 is: 443.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.35 : 787.08 = 321.66 : x
  2. Step 2: Convert to fraction form
    570.35/787.08 = 321.66/x
  3. Step 3: Cross multiply
    570.35x = 787.08 × 321.66
  4. Step 4: Simplify right side
    570.35x = 253,172.15
  5. Step 5: Solve for x
    x = 253,172.15/570.35
  6. Step 6: Final answer
    x = 443.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.