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Finding the Fourth Proportional to 570.76, 787.62 and 337.96

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Solution

The fourth proportional to 570.76, 787.62 and 337.96 is: 466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 787.62 = 337.96 : x
  2. Step 2: Convert to fraction form
    570.76/787.62 = 337.96/x
  3. Step 3: Cross multiply
    570.76x = 787.62 × 337.96
  4. Step 4: Simplify right side
    570.76x = 266,184.06
  5. Step 5: Solve for x
    x = 266,184.06/570.76
  6. Step 6: Final answer
    x = 466.37

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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.