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Finding the Fourth Proportional to 570.90, 787.98 and 334.90

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Solution

The fourth proportional to 570.90, 787.98 and 334.90 is: 462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.90 : 787.98 = 334.90 : x
  2. Step 2: Convert to fraction form
    570.90/787.98 = 334.90/x
  3. Step 3: Cross multiply
    570.90x = 787.98 × 334.90
  4. Step 4: Simplify right side
    570.90x = 263,894.50
  5. Step 5: Solve for x
    x = 263,894.50/570.90
  6. Step 6: Final answer
    x = 462.24

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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.