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Finding the Fourth Proportional to 570.79, 787.71 and 334.90

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Solution

The fourth proportional to 570.79, 787.71 and 334.90 is: 462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.79 : 787.71 = 334.90 : x
  2. Step 2: Convert to fraction form
    570.79/787.71 = 334.90/x
  3. Step 3: Cross multiply
    570.79x = 787.71 × 334.90
  4. Step 4: Simplify right side
    570.79x = 263,806.32
  5. Step 5: Solve for x
    x = 263,806.32/570.79
  6. Step 6: Final answer
    x = 462.18

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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.