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Finding the Fourth Proportional to 570.94, 857.07 and 456.78

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Solution

The fourth proportional to 570.94, 857.07 and 456.78 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.94 : 857.07 = 456.78 : x
  2. Step 2: Convert to fraction form
    570.94/857.07 = 456.78/x
  3. Step 3: Cross multiply
    570.94x = 857.07 × 456.78
  4. Step 4: Simplify right side
    570.94x = 391,492.43
  5. Step 5: Solve for x
    x = 391,492.43/570.94
  6. Step 6: Final answer
    x = 685.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.