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Finding the Fourth Proportional to 570.72, 787.68 and 396.16

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Solution

The fourth proportional to 570.72, 787.68 and 396.16 is: 546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 787.68 = 396.16 : x
  2. Step 2: Convert to fraction form
    570.72/787.68 = 396.16/x
  3. Step 3: Cross multiply
    570.72x = 787.68 × 396.16
  4. Step 4: Simplify right side
    570.72x = 312,047.31
  5. Step 5: Solve for x
    x = 312,047.31/570.72
  6. Step 6: Final answer
    x = 546.76

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Why These Related Problems?

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