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Finding the Fourth Proportional to 570.77, 787.28 and 337.89

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Solution

The fourth proportional to 570.77, 787.28 and 337.89 is: 466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.77 : 787.28 = 337.89 : x
  2. Step 2: Convert to fraction form
    570.77/787.28 = 337.89/x
  3. Step 3: Cross multiply
    570.77x = 787.28 × 337.89
  4. Step 4: Simplify right side
    570.77x = 266,012.35
  5. Step 5: Solve for x
    x = 266,012.35/570.77
  6. Step 6: Final answer
    x = 466.06

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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.