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Finding the Fourth Proportional to 570.86, 788.23 and 446.30

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Solution

The fourth proportional to 570.86, 788.23 and 446.30 is: 616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 788.23 = 446.30 : x
  2. Step 2: Convert to fraction form
    570.86/788.23 = 446.30/x
  3. Step 3: Cross multiply
    570.86x = 788.23 × 446.30
  4. Step 4: Simplify right side
    570.86x = 351,787.05
  5. Step 5: Solve for x
    x = 351,787.05/570.86
  6. Step 6: Final answer
    x = 616.24

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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.