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Finding the Fourth Proportional to 570.42, 787.16 and 321.80

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Solution

The fourth proportional to 570.42, 787.16 and 321.80 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 787.16 = 321.80 : x
  2. Step 2: Convert to fraction form
    570.42/787.16 = 321.80/x
  3. Step 3: Cross multiply
    570.42x = 787.16 × 321.80
  4. Step 4: Simplify right side
    570.42x = 253,304.96
  5. Step 5: Solve for x
    x = 253,304.96/570.42
  6. Step 6: Final answer
    x = 444.07

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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.