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Finding the Fourth Proportional to 570.45, 787.23 and 321.75

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Solution

The fourth proportional to 570.45, 787.23 and 321.75 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 787.23 = 321.75 : x
  2. Step 2: Convert to fraction form
    570.45/787.23 = 321.75/x
  3. Step 3: Cross multiply
    570.45x = 787.23 × 321.75
  4. Step 4: Simplify right side
    570.45x = 253,291.25
  5. Step 5: Solve for x
    x = 253,291.25/570.45
  6. Step 6: Final answer
    x = 444.02

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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.