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Finding the Fourth Proportional to 570.58, 787.42 and 360.68

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Solution

The fourth proportional to 570.58, 787.42 and 360.68 is: 497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.58 : 787.42 = 360.68 : x
  2. Step 2: Convert to fraction form
    570.58/787.42 = 360.68/x
  3. Step 3: Cross multiply
    570.58x = 787.42 × 360.68
  4. Step 4: Simplify right side
    570.58x = 284,007.86
  5. Step 5: Solve for x
    x = 284,007.86/570.58
  6. Step 6: Final answer
    x = 497.75

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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.